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a² + b² = c², is called the **Pythagorean Theorem**.The (a^{2} + b^{2}) formula is expressed as **a ^{2} + b^{2} = (a +b)^{2} -2ab**.Right angle. The Pythagorean Theorem describes the relationship among the three sides of a right triangle. In any right triangle, the sum of the areas of the squares formed on the legs of the triangle equals the area of the square formed on the hypotenuse:

**a2 + b2 = c2**.

Table of Contents

## What is the formula of A² B²?

The (a^{2} + b^{2}) formula is expressed as **a ^{2} + b^{2} = (a +b)^{2} -2ab**.

## What is a2 plus b2?

Right angle. The Pythagorean Theorem describes the relationship among the three sides of a right triangle. In any right triangle, the sum of the areas of the squares formed on the legs of the triangle equals the area of the square formed on the hypotenuse: **a2 + b2 = c2**.

### Formula of a square + b square | a^2 + b^2 | Tarun sir |

### Images related to the topicFormula of a square + b square | a^2 + b^2 | Tarun sir |

## What is value of a2 b2?

The value of a2+b2 is equal to **4 + 4 = 8**. So, a2+b2 = 8.

## Is A² B² the same as AB ²?

Answer. **Both are completely different**.

## What is the product of a2 b2?

a^2 – b^2 is a product of **(a + b)(a – b)**.

## How do you solve a2 b2 AB?

**a2 – b2 – a – b = [(a – b)(a + b)] – (a + b) = (a + b)(a – b – 1)**. Therefore, factors of a2 – b2 – a – b are (a + b)(a – b – 1).

## What is the Algebra formula?

An algebraic formula is **an equation, a rule written using mathematical and algebraic symbols**. It is an equation that involves algebraic expressions on both sides. The algebraic formula is a short quick formula to solve complex algebraic calculations.

## See some more details on the topic What is A² B² equal to? here:

### what is formula for a²+b² and a²-b² – Answers of Question

This page shows answers for question: what is formula for a²+b² and a²-b². Find right answer with solution and explaination of asked question.

### Visual Proof of the Pythagorean Theorem | Math Hacks

So the area of the large square, (a+b)², is equal to sum of the areas of the four shapes inside it: a² + b² + ab + ab, or equivalently: Equation 1.

### Is sqrt(a²+b²) equal to a+b? : r/learnmath – Reddit

Is sqrt(a²+b²) equal to a+b? … Thanks in advance! … Let’s find out! Let a = 3, and b = 4. Do both sides of the equation equal each other? EDIT: …

## Is Pythagorean Theorem algebra?

Pythagorean theorem is super important for math. **You will probably learn about it for the first time in Algebra, but you will literally use it in Algebra, Geometry, Trigonometry, Precalculus, Calculus, and beyond!**

## How do you expand a2 b2?

**Answer**

- Step-by-step explanation:=
- a2 – 2ab + b2. Therefore, (a + b)2 + (a – b)2. = a2 + 2ab + b2 + a2 – 2ab + b2.
- = 2(a2 + b2), and. ( a + b)2 – (a – b)2. = a2 + 2ab + b2 – {a2 – 2ab + b2}
- = 4ab. Corollaries: (i) (a + b)2 – 2ab = a2 + b2.

## What is ab2?

The (a – b)^{2} formula is **used to find the square of a binomial**. This a minus b Whole Square Formula is one of the commonly used algebraic identities. This formula is also known as the formula for the square of the difference between two terms. The (a – b)^{2} formula is used to factorize some special types of trinomials.

## What is ab3?

a + b)^{3} formula is also an identity. It holds true for every value of a and b.The (a + b)^{3} is given as, (a + b)^{3} = (a + b)(a + b)(a + b) = (a^{2} + 2ab + b^{2})(a + b) = a^{3} + a^{2}b + 2a^{2}b + 2ab^{2} + ab^{2} + b^{3}.

### a2 – b2 = (a+b) (a- b) but WHY Proof that a2 – b2 = (a+b) (a – b) !!! Math Mantra Video !!!

### Images related to the topica2 – b2 = (a+b) (a- b) but WHY Proof that a2 – b2 = (a+b) (a – b) !!! Math Mantra Video !!!

## Is AB squared equal to BA squared?

Answer. Therefore **both ( a – b ) ^ 2 and ( b – a ) ^ 2 are one and the same**.

## How do you prove a3 b3?

**What is the formula for (a**

^{3}– b^{3})?- Answer: (a
^{3}– b^{3}) = (a – b)(a^{2}+ b^{2}+ ab) Let us prove this by considering a = 4 and b= 2 then. (4^{3}– 2^{3}) = (4 – 2)(4^{2}+ 2^{2}+ 4 × 2) LHS = (2)(28) - LHS = 56. RHS = (a – b)(a2 + b2 + ab) RHS = (4 – 2)(4
^{2}+ 2^{2}+ 4 × 2) - RHS = 56. ∴ LHS = RHS. (a
^{3}– b^{3}) = (a – b)(a^{2}+ b^{2}+ ab) Hence the proof.

## How do I find a product?

You can find each product of a number by **multiplying it by another number**. For example, 27 is a product of 9 and 3, because 9 x 3 = 27. The amount of potential products of each number is infinite, since they could be multiplied by an infinite selection of other numbers to reach an infinite number of answers.

## What is the product of monomial and binomial?

If we multiply monomial and binomial we get two terms. Hence the product of a monomial and binomial is **a binomial**.

## Which of the following is binomial?

Answer: (d) **6 (a ^{2} + b)**

Binomial – A binomial is a polynomial expression that contains exactly two terms. A binomial can be considered as a sum or difference between two or more monomials.

## What is A² B² AB?

**a² b²=(a b)²-2ab** a²-b²=(a-b)² 2ab or, (a-b)(a b) 197 Like.

## How do you factor x4 x2 1?

- Step 1 of 2 : Write down the given expression. The given expression is. x⁴ + x² + 1.
- Step 2 of 2 : Factorise the expression. We are aware of the identity that. a² – b² = ( a + b ) ( a – b ) Thus we get , ∴ x⁴ + x² + 1 = (x² + x + 1)(x² – x + 1)

## Can you simplify a 2 B 2?

Using the identity (a+b)2=a2+2ab+b2, **simplify (x2+5)2**.

## Who invented maths?

**Archimedes** is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial. A major topic of discussion regarding this particular field of science is about who is the father of mathematics.

### How many ways are there to prove the Pythagorean theorem? – Betty Fei

### Images related to the topicHow many ways are there to prove the Pythagorean theorem? – Betty Fei

## Why is algebra so hard?

Algebra is hard usually **because we assume we are learning new information, when we are actually putting language to concrete ideas we already know to be true from experience**. Algebra becomes hard when we start down the path of memorization and speed and don’t stop to fully understand and master concepts.

## Who invented algebra?

**al-Khwārizmī**, in full Muḥammad ibn Mūsā al-Khwārizmī, (born c. 780 —died c. 850), Muslim mathematician and astronomer whose major works introduced Hindu-Arabic numerals and the concepts of algebra into European mathematics.

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