Question

Which of the following is equivalent to (2x)(3y)(3y)?

a) 8y
b) (2x)(3y)^2
c) (2x)3y^2
d) (2xy)^3

Answer 1

b) (2x)(3y)²

Explanation:

we see in

(2x)(3y)(3y)

that the factor 3y is applied twice.

any number multiplied by itself is the square of that number.

in our case 3y is that number. so, the equivalent expression of

(3y)(3y) is (3y)².

(2x) remains untouched and unchanged.

so, the only equivalent expression is b)

(2x)(3y)²

FYI : we could simplify further like

(3y)² = 9y²

(2x)(9y²) = 18xy²