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5 votes
Expand and combine like terms.

(4b^2+3)(4b^2-3)

User Redgem
by
8.1k points

2 Answers

4 votes

Answer:

16b^4-9

Explanation:

Factoring gives us 16b^4+12b^2-12^2-9. Simplifying gives us the answer which is 16b^4-9

User Hengxin
by
8.1k points
6 votes

Answer:


16b^4-9

Explanation:

When multiplying binomials, we can use a method called FOIL (First-Outside-Inside-Last).

For
(t_1+t_2)(t_3+t_4), let:


t_1\implies \text{First Term},\\t_2\implies \text{Second Term},\\t_3\implies \text{Third Term},\\t_4\implies \text{Fourth Term}

In the FOIL method, the steps go:


\text{\textbf{F}irst: Multiply the first and third terms (first term of each binomial)},\\\text{\textbf{O}utside: Multiply the first and fourth terms},\\\text{\textbf{I}nside: Multiply the second and third terms},\\\text{\textbf{L}ast: Multiply the second and fourth terms (last term of each binomial) }

Given
(4b^2+3)(4b^2-3), we have:


\text{First: }4b^2\cdot 4b^2,\\\text{Outside: }4b^2\cdot -3,\\\text{Inside: }3\cdot 4b^2,\\\text{Last: }3\cdot -3,\\\rightarrow 16b^4-12b^2+12b^2-9

Combine like terms:


\boxed{16b^4-9}

User Bilal
by
7.9k points

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