Respuesta :
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(-6.3.p^3+2)+(-6.5.p^3+1)-6p^3. (-1)
-18p^5-30p^4+6p^3
(-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