Question

1) (-6a - 2b)(6a - 2b); 2) (b^2 +v4)(b - 2)(b + 2).

Answer 1

1) (-6a - 2b)(6a - 2b)=
-36a^2+12ab-12ab+4b^2=
-36a^2+4b^2=
4(b^2-9a^2)

2) (b^2 +4)(b - 2)(b + 2)=
(b^2+4)(b^2-4)=
b^4-4b^2+4b^2-16=
b^4-16

Answer 2

Sure, I can help you with those expressions. Let's simplify them step by step:

1. (-6a - 2b)(6a - 2b):

To simplify this expression, we can use the distributive property (also known as the FOIL method for multiplying binomials):

(-6a - 2b)(6a - 2b) = -6a * 6a - 6a * 2b - 2b * 6a - 2b * 2b = -36a^2 - 12ab - 12ab - 4b^2 = -36a^2 - 24ab - 4b^2

2. (b^2 + 4)(b - 2)(b + 2):

Similarly, let's use the distributive property to simplify this expression:

(b^2 + 4)(b - 2)(b + 2) = (b^2 + 4)(b^2 - 2b + 2b - 4) = b^2 * b^2 + b^2 * (-2b) + b^2 * 2b + b^2 * (-4) + 4 * b^2 + 4 * (-2b) + 4 * 2b + 4 * (-4) = b^4 - 2b^3 + 2b^3 - 4b^2 + 4b^2 - 8b - 8b + 16 = b^4 - 8b

So, the simplified expressions are:

1. (-6a - 2b)(6a - 2b) simplifies to -36a^2 - 24ab - 4b^2.
2. (b^2 + 4)(b - 2)(b + 2) simplifies to b^4 - 8b.