Question

simplify (a-b2) (a-b2)​

Answer 1

Answer:

• (a + b)² = a² + 2ab + b²
• (a – b)² = a² – 2ab + b²

(a + b)² – (a – b)² = (a² + 2ab + b²) – (a² – 2ab + b²)

While subtracting polynomials, the signs in the first polynomial are unchanged when the parentheses are dropped, whereas the middle – sign distributes to all of the terms in the second polynomial, thus changing all the signs in the second polynomial when the parentheses are dropped

(a² + 2ab + b²) – (a² – 2ab + b²) = a² + 2ab + b² – a² + 2ab – b²

Rearrange the terms and you get:

a² – a² + 2ab + 2ab + b² – b²

Cancel out same terms with opposite signs, and you get:

2ab + 2ab

which simplifies to our final answer:

4ab answer

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