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

answer B.
$- 3 {x}^{2} (5x - 4 {x}^{2} - 6) \\ = - 15 {x}^{3} + 12 {x}^{4} + 18 {x}^{2} \\ = 12 {x}^{4} - 15 {x}^{3} + 18 {x}^{2}$

Answer 2

Answer:

The answer is B

Step-by-step explanation:

(−3x2)(5x−4x2−6)

=(−3x2)(5x+−4x2+−6)

=(−3x2)(5x)+(−3x2)(−4x2)+(−3x2)(−6)

=−15x3+12x4+18x2

=12x4−15x3+18x2