What is expand (23yz^3(6y-13z))/9 ?

The solution to expand (23yz^3(6y-13z))/9 is (46y^2z^3)/3-(299yz^4)/9

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expand (23yz^3(6y-13z))/9

expand

\frac{23 y z ^{3} ( 6 y - 13 z )}{9}

\frac{46 y ^{2} z ^{3}}{3} - \frac{299 y z ^{4}}{9}

Solution steps

\frac{23 y z ^{3} ( 6 y - 13 z )}{9}

Expand

23 y z^{3} (6 y - 13 z) : 138 y^{2} z^{3} - 299 y z^{4}

= \frac{138 y ^{2} z ^{3} - 299 y z ^{4}}{9}

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

\frac{138 y ^{2} z ^{3} - 299 y z ^{4}}{9} = \frac{138 y ^{2} z ^{3}}{9} - \frac{299 y z ^{4}}{9}

= \frac{138 y ^{2} z ^{3}}{9} - \frac{299 y z ^{4}}{9}

Cancel

\frac{138 y ^{2} z ^{3}}{9} : \frac{46 y ^{2} z ^{3}}{3}

= \frac{46 y ^{2} z ^{3}}{3} - \frac{299 y z ^{4}}{9}

\frac{2 y ^{2}}{( x + 1 ) ^{2} + y ^{2}}

\frac{( n + 2 ) ( n - 8 )}{( n - 2 ) ( n - 3 )}

\frac{2 ( 61 n - 60 )}{n}

(x^{2} - 2)^{3} x d x

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

What is expand (23yz^3(6y-13z))/9 ?
The solution to expand (23yz^3(6y-13z))/9 is (46y^2z^3)/3-(299yz^4)/9