Question

2(a2 + b2 + 2ab) - [2(a2 + b2 - 2ab) - {-63 + 4(a -3)}]​

Answer 1

Step-by-step explanation:

Let's simplify step-by-step.

2(a2+b2+2ab)−(2(a2+b2−2ab)−(−63+4(a−3)))

Distribute the Negative Sign:

=2(a2+b2+2ab)+−1(2(a2+b2−2ab)−(−63+4(a−3)))

=2(a2+b2+2ab)+−1(2(a2+b2−2ab))+(−1)(63)+−1(−4(a−3))

=2(a2+b2+2ab)+−2a2+4ab−2b2+−63+4a−12

Distribute:

=(2)(a2)+(2)(b2)+(2)(2ab)+−2a2+4ab+−2b2+−63+4a+−12

=2a2+2b2+4ab+−2a2+4ab+−2b2+−63+4a+−12

Combine Like Terms:

=2a2+2b2+4ab+−2a2+4ab+−2b2+−63+4a+−12

=(2a2+−2a2)+(4ab+4ab)+(2b2+−2b2)+(4a)+(−63+−12)

=8ab+4a+−75

Answer:

=8ab+4a−75

Answer 2

Answer:

8ab+4a-75

Step-by-step explanation:

Let's simplify step-by-step.

2(a2+b2+2ab)−(2(a2+b2−2ab)−(−63+4(a−3)))

Distribute the Negative Sign:

=2(a2+b2+2ab)+−1(2(a2+b2−2ab)−(−63+4(a−3)))

=2(a2+b2+2ab)+−1(2(a2+b2−2ab))+(−1)(63)+−1(−4(a−3))

=2(a2+b2+2ab)+−2a2+4ab−2b2+−63+4a−12

Distribute:

=(2)(a2)+(2)(b2)+(2)(2ab)+−2a2+4ab+−2b2+−63+4a+−12

=2a2+2b2+4ab+−2a2+4ab+−2b2+−63+4a+−12

Combine Like Terms:

=2a2+2b2+4ab+−2a2+4ab+−2b2+−63+4a+−12

=(2a2+−2a2)+(4ab+4ab)+(2b2+−2b2)+(4a)+(−63+−12)

=8ab+4a+−75

=8ab+4a−75