What is (8(x+3)^2)/(2(x+3)) ?

The solution to (8(x+3)^2)/(2(x+3)) is 4x+12

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simplify (8(x+3)^2)/(2(x+3))

simplify

\frac{8 ( x + 3 ) ^{2}}{2 ( x + 3 )}

4 x + 12

Solution steps

\frac{8 ( x + 3 ) ^{2}}{2 ( x + 3 )}

Factor the number:

8 = 2 \cdot 4

= \frac{2 \cdot 4 ( x + 3 ) ^{2}}{2 ( x + 3 )}

Cancel the common factor:

2

= \frac{4 ( x + 3 ) ^{2}}{x + 3}

Apply exponent rule:

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

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

= \frac{4 ( x + 3 ) ( x + 3 )}{x + 3}

Cancel the common factor:

x + 3

= 4 (x + 3)

Expand

4 (x + 3) : 4 x + 12

= 4 x + 12

(n + 3)^{2}

\frac{35}{50}

\frac{8 3}{2}

\frac{2}{5}

(x + 3) (2 x + 1)