What is ((x^2+4x+4))/((x+2)) ?

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

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

simplify

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

x + 2

Solution steps

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

Factor

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

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x + 2

= x + 2

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