Question

Which is equivalent to the following expression -2x^4y^2(6y - xy) ? ­



A
−12x4y3 − 2x5y3-12x^{4}y^{3}\ -\ 2x^{5}y^{3}−12x
4
y
3
− 2x
5
y
3

B
−12x4y3 + 2x5y3-12x^{4}y^{3}\ +\ 2x^{5}y^{3}−12x
4
y
3
+ 2x
5
y
3

C
−12y3 + 2x5y2-12y^{3}\ +\ 2x^{5}y^{2}−12y
3
+ 2x
5
y
2

D
12x4y3 − 2x5y312x^{4}y^{3}\ -\ 2x^{5}y^{3}12x
4
y
3
− 2x
5
y
3

Answer 1

Multiply each term: -2x^4y^2(6y) = -12x^4y^3 and -2x^4y^2(-xy) = +2x^5y^3. So the expression equals -12x^4y^3 + 2x^5y^3 — choice B.