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 \cdot ( 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}

(\frac{7}{x})^{- 3}

\frac{2 ( - 2 h + 4 ) - 5}{3 h}

x^{\frac{- 1}{2}} - x^{\frac{- 3}{2}}

\frac{m ^{3} n ^{- 2} p ^{4}}{m ^{5} n ^{7} p ^{- 2}}

(\frac{a ^{2389} b ^{3895}}{c ^{1789}}) 1

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