Question

4.
Simplify the following:
(i) (a + b)2 + (a - b)2​

Answer 1

Answer:

g

Step-by-step explanation:

Simplify the following:

(i) (a + b)2 + (a - b)2

Answer 2

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 our final answer:

4ab

Step-by-step explanation: