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luisejr77

Answer: Third option.

Step-by-step explanation:

By definition, the number 64 and the number 9 are perfect squares.

A perfect square it that number obtained by squaring a whole number.

In this case, 64 is obtained by squaring the number 8 and the number 9 is obtained by the squaring the number 3. Then:

[tex]8^2=64\\3^2=9[/tex]

Therefore, you can rewrite the expression [tex]64-9x^2[/tex] as following:

[tex](8)^2-(3x)^2[/tex]

This matches with the third option.

kudzordzifrancis
ANSWER

[tex]64 - 9 {x}^{2} = {8}^{2} -( {3x)}^{2} [/tex]

EXPLANATION
The given expression is

[tex]64 - 9 {x}^{2} [/tex]

Rewrite to get:

[tex] {8}^{2} - {3}^{2} {x}^{2} [/tex]

Recall that

[tex] {a}^{n} {b}^{n} = {(ab)}^{n} [/tex]
We apply this property of exponents to the second term.

This gives us

[tex]64 - 9 {x}^{2} = {8}^{2} -( {3x)}^{2} [/tex]

The third choice is correct.
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