Question

Choose the correct simplification of the expression −6x^2(4x − 7x^2 − 2)

A. 42x4 + 24x3 − 12x2
B. −42x4 + 24x3 − 12x2
C. −13x4 − 2x3 − 8x2
D. 42x4 − 24x3 + 12x2
I'm thinking it's B but not sure.

Answer 1

D.
`42x^4-24x^3+12x^2`

Explanation:

We are given that an expression

`-6x^2(4x-7x^2-2)`

We have to choose the correct simplification of the given expression.

Multiply each term of bracket with [txe[-6x^2[/tex]

`(-6x^2)(4x)+(6x^2)(7x^2)+(6x^2)(2)`

`-24x^3+42x^4+12x^2`

Hence, the simplification of the given expression is given by

`42x^4-24x^3+12x^2`

Answer:D.
`42x^4-24x^3+12x^2`

Answer 2

Option D is the correct answer.

Explanation:

The given expression is :

`-6x^(2) (4x-7x^(2) -2)`

Solving and simplifying it further we get:

Using distributive property, we get

`-6x^(2) (4x)-6x^(2) (-7x^(2) )-6x^(2) (-2x)`

=
`-24x^(3)+42x^(4)+12x^(2)`

Now re- arranging the equation we get,

`42x^(4) -24x^(3) +12x^(2)`

Therefore, option D is correct.