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Popular >

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

Solution

simplify

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

Solution

8 + h

Solution steps

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

Factor

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

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

Simplify

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

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

Cancel the common factor:

h

= 8 + h

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Frequently Asked Questions (FAQ)

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