Question

(2a – b)2 + (4a − 2b)(a + b) + (a + b)2(​

Answer 1

Answer:

STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

-2ab - 2 = -2 • (ab + 1)

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

(4a - 2b) = 2 • (2a - b)

Equation at the end of step

3

:

-4 • (ab + 1) • (2a - b) - 2

STEP

4

:

STEP

5

:

Pulling out like terms

5.1 Pull out like factors :

-8a2b + 4ab2 - 8a + 4b - 2 =

-2 • (4a2b - 2ab2 + 4a - 2b + 1)

Final result :

-2 • (4a2b - 2ab2 + 4a - 2b + 1)