Question

What is the factored from of 9x^2-64

Answer 1

Answer:

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=3x and b=8

.

(3x+8)(3x−8)

Step-by-step explanation:

Answer 2

Assignment: $\bold{Factor \ Equation: \ 9x^2-64}$

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Answer: $\boxed{\bold{\left(3x+8\right)\left(3x-8\right)}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Rewrite $\bold{9x^2-64}$

$\bold{\left(3x\right)^2-8^2}$

[ Step Two ] Rewrite Equation

$\bold{\left(3x\right)^2-8^2}$

[ Step Three ] Apply Difference Of Two Squares Formula

Note: $\bold{Difference \ Of \ Two \ Squares \ Formula: \ x^2-y^2=\left(x+y\right)\left(x-y\right)}$

$\bold{\left(3x\right)^2-8^2=\left(3x+8\right)\left(3x-8\right)}$

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$\bold{\left(3x+8\right)\left(3x-8\right)}$

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$\bold{\rightarrow Mordancy \leftarrow}$