Question

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

Answer 1

Answer:

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

Step-by-step 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

Answer:

Option D is the correct answer.

Step-by-step 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.