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Popular >

simplify ((4+x)^2-16)/x

Solution

simplify

\frac{( 4 + x ) ^{2} - 16}{x}

Solution

8 + x

Solution steps

\frac{( 4 + x ) ^{2} - 16}{x}

Factor

(4 + x)^{2} - 16 : ((4 + x) + 4) ((4 + x) - 4)

= \frac{( ( 4 + x ) + 4 ) ( ( 4 + x ) - 4 )}{x}

Simplify

\frac{( ( 4 + x ) + 4 ) ( ( 4 + x ) - 4 )}{x} : \frac{( 8 + x ) x}{x}

= \frac{( 8 + x ) x}{x}

Cancel the common factor:

x

= 8 + x

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\frac{x ^{- 8}}{x ^{- 12}}

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Frequently Asked Questions (FAQ)

What is ((4+x)^2-16)/x ?
The solution to ((4+x)^2-16)/x is 8+x