What is (12(x+y)^3)/(9(x+y)) ?

The solution to (12(x+y)^3)/(9(x+y)) is (4(x+y)^2)/3

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simplify (12(x+y)^3)/(9(x+y))

simplify

\frac{12 ( x + y ) ^{3}}{9 ( x + y )}

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

Solution steps

\frac{12 ( x + y ) ^{3}}{9 ( x + y )}

Factor the number:

12 = 3 \cdot 4

= \frac{3 \cdot 4 ( x + y ) ^{3}}{9 ( x + y )}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Apply exponent rule:

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

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

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

Cancel the common factor:

x + y

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

12 + 75 - 53

21 - 8 (w + 3) + 3 + 7 w

\frac{2}{5} - \frac{3}{5}

6 (p + 6) - (p - 6)

75 x^{2} y^{- 4}

What is (12(x+y)^3)/(9(x+y)) ?
The solution to (12(x+y)^3)/(9(x+y)) is (4(x+y)^2)/3