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Find the product. Write your answer in standard form.

(4a+7)(9a^(2)+2a-7)

Find the product. Write your answer in standard form. $\newline$ $(4 a+7)\left(9 a^{2}+2 a-7\right)$

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Multiply polynomials

Full solution

Q. Find the product. Write your answer in standard form.

\newline

(4 a+7)\left(9 a^{2}+2 a-7\right)

Perform Multiplication: Now, we will perform the multiplication for each term. $\newline$ $4a(9a^{2}) = 36a^{3}$ $\newline$ $4a(2a) = 8a^{2}$ $\newline$ $4a(-7) = -28a$ $\newline$ $7(9a^{2}) = 63a^{2}$ $\newline$ $7(2a) = 14a$ $\newline$ $7(-7) = -49$
Combine Like Terms: Next, we will combine like terms. $\newline$ $36a^{3} + (8a^{2} + 63a^{2}) + (-28a + 14a) - 49$ $\newline$ $36a^{3} + 71a^{2} - 14a - 49$
Write in Standard Form: Finally, we write the answer in standard form, which is a polynomial arranged in descending order of the degree of its terms. $\newline$ The standard form of the product is: $\newline$ $36a^{3} + 71a^{2} - 14a - 49$

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