Choose the correct simplification of the expression −6x^2(4x − 7x^2 − 2).
42x^4 + 24x^3 − 12x^2
−42x^4 + 24x^3 − 12x^2
−13x^4 − 2x^3 − 8x^2
42x^4 − 24x^3 + 12x^2

Question

Choose the correct simplification of the expression −6x^2(4x − 7x^2 − 2).
42x^4 + 24x^3 − 12x^2
−42x^4 + 24x^3 − 12x^2
−13x^4 − 2x^3 − 8x^2
42x^4 − 24x^3 + 12x^2

anonymous · Answer

got a guess for this one?

anonymous · Answer

do you know how to distribute?

anonymous · Answer

well the teacher told me its 3

anonymous · Answer

your teacher is wrong

anonymous · Answer

o.O thats somethin i dont hear everyday lol

anonymous · Answer

"do you know how to distribute?"

anonymous · Answer

uhmmm kinda. but ill probably get it wrong.

anonymous · Answer

Just the distribute −6x^2 and -2 that'll make it so you can narrow the answer down to the correct one, or you can do the rest too lol

anonymous · Answer

$$−6x^2(4x − 7x^2 − 2)$$
$$=-6x^2\times 4x-6x^2\times (-7x^2)-6x^2\times (-2)$$ is the first step

anonymous · Answer

as @gaara438125  said, the last term will be $+12x^2$ which narrows the answer to one choice

anonymous · Answer

yup. thanks guys. but can u explain it fully ? i dont jus want the answers.

anonymous · Answer

and i have no idea who to give the fan/medal too lol

anonymous · Answer

satellite73 explained the process
$$−6x^2(4x − 7x^2 − 2)$$
$$(-6x^2\times 4x) + (-6x^2\times -7x^2) + (-6x^2\times -2)$$

anonymous · Answer

is there another way to do it ?