Can a2 b2 be factored?

Can a2 b2 be factored?

So a2+b2=(a+ib)(a−ib) , but there is no other factoring with real number coefficients.

What is the factored form of a2 b2?

a² – b² = (a + b) (a – b) Hope this helps!

What are the factors of A² B²?

Find the factors of a² – b²​

• Answer:
• Step-by-step explanation: Factoring: a2-b2. A difference of two perfect squares, A2 – B2 can be factored into (A+B) • (A-B)
• Proof : (A+B) • (A-B) = A2 – AB + BA – B2 = A2 – AB + AB – B2 = A2 – B2. Note : AB = BA is the commutative property of multiplication.

How do I Factorise fully?

To factorise an expression fully, take out the highest common factor (HCF) of all the terms. For example, is the HCF of 4 x 2 and as 2 is the biggest number that will divide into 4 and 6 and is the biggest variable that will divide into and .

Can we Factorise A² B² is it possible if yes then how?

It’s true that you can’t factor A²+B² on the reals — meaning, with real-number coefficients — if A and B are just simple variables. So it’s still true that a sum of squares can’t be factored as a sum of squares on the reals.

What is a2 b2 AB?

a2 – b2 = (a + b)(a – b ) . 8. a3 – b3 = (a – b) (a2 + ab + b2 ). 9.

How do you expand a2 b2?

Answer: a²+b² = (a+b)²-2ab.

What is the answer of A² B²?

(A²-B²) = (A-B)² + 2AB.

What is a squared b squared factored?

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

How do you factor a polynomial completely?

Always the first step: Look for a GCF

1. Break down every term into prime factors.
2. Look for factors that appear in every single term to determine the GCF.
3. Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses.
4. Multiply out to simplify each term.

What is fully Factorised?

To factorise an expression, we need to take out any factors that are common to each term. The process is the opposite of expanding brackets. To make sure an expression is fully factorised, we need to identify its highest common factor (HCF), ie the biggest number/letter that each term can be divided by.

Is there any other way to factor A2 + B2?

Whereas a2−b2 = (a+b)(a−b) is very simple, to factor a2+b2 requires the use of complex numbers. So a2+b2 = (a+ib)(a−ib), but there is no other factoring with real number coefficients.

How does a factoring calculator work in Algebra?

Algebra. Factoring Calculator. Step 1: Enter the expression you want to factor in the editor. The Factoring Calculator transforms complex expressions into a product of simpler factors. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions.

How to factor a square in Mathway calculator?

Step 1: Enter the expression you want to factor in the editor. The Factoring Calculator transforms complex expressions into a product of simpler factors. It can factor expressions with polynomials involving any number of vaiables as well as more complex functions. Difference of Squares: a 2 – b 2 = (a + b) (a – b) Step 2:

How to factor the difference of two squares?

To factor the difference of two squares, we reverse the formula from section 3—2. Write the following in completely factored form. 1. 2×2 — 18y2 = 2(x2 — (3y)2] = 2(x + 3y)(x — 3y) Factor out what is common, 2 Identify and rewrite as squares Factor and inspect the factors Write the following in completely factored form. a2 — — b2 b) 3) 7) 3. 4.