What is (4x^2-16)/(4x-8) ?

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

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simplify (4x^2-16)/(4x-8)

simplify

\frac{4 x ^{2} - 16}{4 x - 8}

x + 2

Solution steps

\frac{4 x ^{2} - 16}{4 x - 8}

Factor

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

= \frac{4 ( x + 2 ) ( x - 2 )}{4 x - 8}

Factor

4 x - 8 : 4 (x - 2)

= \frac{4 ( x + 2 ) ( x - 2 )}{4 ( x - 2 )}

Cancel the common factor:

4

= \frac{( x + 2 ) ( x - 2 )}{x - 2}

Cancel the common factor:

x - 2

= x + 2

- 4 192 x

\frac{x ^{3}}{2 x ^{2}}

\frac{44}{12}

87 - (- 35)

- 81 + - 49 + 25 + - 1