Question

Simplify the expression

-4x2(3x − 7).

A. -12x3 + 28
B. -12x3 + 28x2
C. -12x3 − 28
D. -12x3 − 28x2

Answer 1

B

Explanation:

given

- 4x²(3x - 7)

multiply each term in the parenthesis by - 4x²

= (-4x² × 3x) + ( - 4x² × - 7)

= - 12x³ + 28x² → B

Answer 2

the simplified expression is
`-12x^3+28x^2`

B is the correct option.

Explanation:

We have been given the expression
`-4x^2(3x-7)`

Using the distributive property a(b+c)=ab+ac and simplify

`-4x^2(3x-7)\\\\=-4x^2\cdot3x+(-4x^2\cdot(-7))\\\\=-12x^3+28x^2`

Therefore, the simplified expression is
`-12x^3+28x^2`

B is the correct option.