Question

Select an equation that is equivalent to a^2-144b^2 a) (a-12b)^2 B) (a+12b)^2 C) (a-12b)(a+12b) C) a^2-24ab+144b^2

Answer 1

C) (a-12b)(a+12b)

Explanation:

a^2-144b^2 = (a-12b)(a+12b)

This is the formula that when two terms squared are written with a minus sign between them their factors are the product of the original numbers once with a plus sign and once with the minus sign.

This can be explained by multiplying them.

(a-12b)

*(a+12b)

a²- 12ab

+12ab - 144b²

a² +0 - 144b²

We see we get the same answer as applying the formula above.