Question

Please complete the following with explanation:

a) 4px + 24qy - 15qx - 64py
b) 25p²- 81q²
c) (a + 3)² - 16
d) 9x² - 6x + 1
( people who answer random stuff and takes the points away will be reported from 10 different account )

Answer 1

b.

Explanation:

Factor 25p^ 2 -81q^ 2 : (5p + 9q)(5p - 9q)

Steps

25p ^ 2 - 81q ^ 2

=(5p)^ 2 -(9q)^ 2

Apply Difference of Two Squares Formula: x ^ 2 - y ^ 2 = (x + y)(x - y)

(5p) ^ 2 - (9q) ^ 2 = (5p + 9q)(5p - 9q)

=(5p+9q)(5p-9q)