What is (8x^2y)/(8x+y)*(x+y)/(11x) ?

The solution to (8x^2y)/(8x+y)*(x+y)/(11x) is (8xy(x+y))/(11(8x+y))

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simplify (8x^2y)/(8x+y)*(x+y)/(11x)

simplify

\frac{8 x ^{2} y}{8 x + y} \cdot \frac{x + y}{11 x}

\frac{8 x y ( x + y )}{11 ( 8 x + y )}

Solution steps

\frac{8 x ^{2} y}{8 x + y} \cdot \frac{x + y}{11 x}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{8 x ^{2} y ( x + y )}{( 8 x + y ) \cdot 11 x}

Apply exponent rule:

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

x^{2} = xx

= \frac{8 xx y ( x + y )}{( 8 x + y ) \cdot 11 x}

Cancel the common factor:

x

= \frac{8 x y ( x + y )}{( 8 x + y ) \cdot 11}

= \frac{8 x y ( x + y )}{11 ( 8 x + y )}

(3 - 3) (3 + 3)

\frac{( 2 ab ) ^{3}}{( 2 a ^{- 2} b ^{2} ) ^{2}}

\frac{10}{- \frac{5}{8}}

x^{2} - 4 x - 1 = 0

0.6 x^{2} - 2.4 x - 0.6 = 0

What is (8x^2y)/(8x+y)*(x+y)/(11x) ?
The solution to (8x^2y)/(8x+y)*(x+y)/(11x) is (8xy(x+y))/(11(8x+y))