Question

.Choose the product.

-6p^3(3p^2 + 5p - 1)


-18p5 - 30p4 + 6p3

-18p6 - 30p3 - 6p

18p3 + 6p2 - 30p4

-18p6 - 24p3

Answer 1

I hope this helps you


(-6.3.p^3+2)+(-6.5.p^3+1)-6p^3. (-1)


-18p^5-30p^4+6p^3

Answer 2

A) -18p^5 - 30p^4 + 6p^3

Explanation:

Given:

`-6p^3(3p^2 + 5p - 1)`

Here we need to multiply them.

We distribute
`-6p^3` inside the parenthesis.

Here is the distributive property: a(b +c) = a.b + a.c

Applying the property, we get

`-6p^3 . 3p^2 - 6p^3 . 5p + 6p^3`

Now we have to simplify.

If we have the same base, we can add the powers. This is called exponent's power rule.

`a^m.  a^n = a^(m + n)`

Applying the rule, we get

`-18p^(3 + 2) - 30p^(3 +1) + 6p^3`

`-18p^5 - 30p^4 + 6p^3`

Therefore, the answer is A) -18p^5 - 30p^4 + 6p^3