What is ((x^2+6x+9))/((x+3)) ?

The solution to ((x^2+6x+9))/((x+3)) is x+3

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simplify ((x^2+6x+9))/((x+3))

simplify

\frac{( x ^{2} + 6 x + 9 )}{( x + 3 )}

x + 3

Solution steps

\frac{x ^{2} + 6 x + 9}{x + 3}

Factor

x^{2} + 6 x + 9 : (x + 3)^{2}

= \frac{( x + 3 ) ^{2}}{x + 3}

Apply exponent rule:

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

(x + 3)^{2} = (x + 3) (x + 3)

= \frac{( x + 3 ) ( x + 3 )}{x + 3}

Cancel the common factor:

x + 3

= x + 3

\frac{x - 2}{2 - x}

π + \frac{2 π}{3}

(- 2 + 2 i)^{2}

(2 x^{3} + 7 x^{2} + x) + (2 x^{2} - 4 x - 12)