Question

Choose the correct simplification of the expression −3x2(5x − 4x2 − 6).

A.−7x4 + 2x3 − 9x2
B.12x4 − 15x3 + 18x2
C.12x4 + 15x3 + 18x2
D.−12x4 + 15x3 − 18x2

Answer 1

The answer is B

Explanation:

(−3x2)(5x−4x2−6)

=(−3x2)(5x+−4x2+−6)

=(−3x2)(5x)+(−3x2)(−4x2)+(−3x2)(−6)

=−15x3+12x4+18x2

=12x4−15x3+18x2

Answer 2

answer B.

`- 3 {x}^(2) (5x - 4 {x}^(2) - 6) \\ = - 15 {x}^(3) + 12 {x}^(4) + 18 {x}^(2) \\ = 12 {x}^(4) - 15 {x}^(3) + 18 {x}^(2)`