Marisushi
contestada

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.

Respuesta :

Answer:

Option D is the correct answer.

Step-by-step explanation:

The given expression is :

[tex]-6x^{2} (4x-7x^{2} -2)[/tex]

Solving and simplifying it further we get:

Using distributive property, we get

[tex]-6x^{2} (4x)-6x^{2} (-7x^{2} )-6x^{2} (-2x)[/tex]

= [tex]-24x^{3}+42x^{4}+12x^{2}[/tex]

Now re- arranging the equation we get,

[tex]42x^{4} -24x^{3} +12x^{2}[/tex]

Therefore, option D is correct.

lublana

Answer:

D.[tex]42x^4-24x^3+12x^2[/tex]

Step-by-step explanation:

We are given that an expression

[tex]-6x^2(4x-7x^2-2)[/tex]

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

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

[tex](-6x^2)(4x)+(6x^2)(7x^2)+(6x^2)(2)[/tex]

[tex]-24x^3+42x^4+12x^2[/tex]

Hence, the simplification of the given expression is given by

[tex]42x^4-24x^3+12x^2[/tex]

Answer:D.[tex]42x^4-24x^3+12x^2[/tex]