Choose the product. 4p^3 3(p 2^ + 8p - 3)

4p^5 + 12p^4 + 7p^3
4p^6 + 44p^3
4p^3 - 12p^2 +32p^4
4p^5 + 32p^4 -12p^3

Respuesta :

The answer would most likely be D.
I hope this helps.

Answer:  The correct option is

(D) [tex]4p^5+32p^4-12p^3.[/tex]

Step-by-step explanation:  We are given to choose the correct expression for the following product :

[tex]P=4p^3(p^2+8p-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

To find the above product, we need to multiply 4p³ with every term within the bracket.

The required product (i) is

[tex]P\\\\=4p^3(p^2+8p-3)\\\\=4p^{3+2}+32p^{3+1}-12p^3\\\\=4p^5+32p^4-12p^3.[/tex]

Thus, the required product is [tex]4p^5+32p^4-12p^3.[/tex]

Option (D) is CORRECT.

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