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Popular >

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

Solution

simplify

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

Solution

x + 4

Solution steps

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

Factor

x^{2} + 8 x + 16 : (x + 4)^{2}

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(x + 4)^{2} = (x + 4) (x + 4)

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

Cancel the common factor:

x + 4

= x + 4

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Frequently Asked Questions (FAQ)

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