What is ((56x^2*(x+y)))/((63x*(x+y)^3)) ?

The solution to ((56x^2*(x+y)))/((63x*(x+y)^3)) is (8x)/(9(x+y)^2)

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simplify ((56x^2(x+y)))/((63x(x+y)^3))

simplify

\frac{( 56 x ^{2} \cdot ( x + y ) )}{( 63 x \cdot ( x + y ) ^{3} )}

\frac{8 x}{9 ( x + y ) ^{2}}

Solution steps

\frac{56 x ^{2} ( x + y )}{63 x ( x + y ) ^{3}}

Factor the number:

56 = 7 \cdot 8

= \frac{7 \cdot 8 x ^{2} ( x + y )}{63 x ( x + y ) ^{3}}

Factor the number:

63 = 7 \cdot 9

= \frac{7 \cdot 8 x ^{2} ( x + y )}{7 \cdot 9 x ( x + y ) ^{3}}

Cancel the common factor:

7

= \frac{8 x ^{2} ( x + y )}{9 x ( x + y ) ^{3}}

Apply exponent rule:

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

x^{2} = xx

= \frac{8 xx ( x + y )}{9 x ( x + y ) ^{3}}

Cancel the common factor:

x

= \frac{8 x ( x + y )}{9 ( x + y ) ^{3}}

Apply exponent rule:

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

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

= \frac{8 x ( x + y )}{9 ( x + y ) ( x + y ) ^{2}}

Cancel the common factor:

x + y

= \frac{8 x}{9 ( x + y ) ^{2}}

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

y^{9} - y^{10}

(n^{0})^{4}

(\frac{x + 1}{x})^{6}

2 x + 7 x - 15

What is ((56x^2*(x+y)))/((63x*(x+y)^3)) ?
The solution to ((56x^2*(x+y)))/((63x*(x+y)^3)) is (8x)/(9(x+y)^2)