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


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

Answer:

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

Step-by-step explanation:

Given:

[tex]-6p^3(3p^2 + 5p - 1)[/tex]

Here we need to multiply them.

We distribute [tex]-6p^3[/tex] inside the parenthesis.

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

Applying the property, we get

[tex]-6p^3 . 3p^2 - 6p^3 . 5p + 6p^3[/tex]

Now we have to simplify.

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

[tex]a^m.  a^n = a^{m + n}[/tex]

Applying the rule, we get

[tex]-18p^{3 + 2} - 30p^{3 +1} + 6p^3[/tex]

[tex]-18p^5 - 30p^4 + 6p^3[/tex]

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

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