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Popular >

simplify (2x+2)/(x^2+2x+1)

Solution

simplify

\frac{2 x + 2}{x ^{2} + 2 x + 1}

Solution

\frac{2}{x + 1}

Solution steps

\frac{2 x + 2}{x ^{2} + 2 x + 1}

Factor

2 x + 2 : 2 (x + 1)

= \frac{2 ( x + 1 )}{x ^{2} + 2 x + 1}

Factor

x^{2} + 2 x + 1 : (x + 1)^{2}

= \frac{2 ( x + 1 )}{( x + 1 ) ^{2}}

Apply exponent rule:

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

(x + 1)^{2} = (x + 1) (x + 1)

= \frac{2 ( x + 1 )}{( x + 1 ) ( x + 1 )}

Cancel the common factor:

x + 1

= \frac{2}{x + 1}

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Frequently Asked Questions (FAQ)

What is (2x+2)/(x^2+2x+1) ?
The solution to (2x+2)/(x^2+2x+1) is 2/(x+1)