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Popular >

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

Solution

simplify

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

Solution

4 x + 8

Solution steps

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

Factor

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

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

Factor

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

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

Cancel the common factor:

x - 2

= 4 (x + 2)

Expand

4 (x + 2) : 4 x + 8

= 4 x + 8

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Frequently Asked Questions (FAQ)

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