What is expand ((3y-5)^2y^2)/2 ?

The solution to expand ((3y-5)^2y^2)/2 is (9y^4)/2-15y^3+(25y^2)/2

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expand ((3y-5)^2y^2)/2

expand

\frac{( 3 y - 5 ) ^{2} y ^{2}}{2}

\frac{9 y ^{4}}{2} - 15 y^{3} + \frac{25 y ^{2}}{2}

Solution steps

\frac{( 3 y - 5 ) ^{2} y ^{2}}{2}

(3 y - 5)^{2} = 9 y^{2} - 30 y + 25

= \frac{y ^{2} ( 9 y ^{2} - 30 y + 25 )}{2}

Expand

(9 y^{2} - 30 y + 25) y^{2} : 9 y^{4} - 30 y^{3} + 25 y^{2}

= \frac{9 y ^{4} - 30 y ^{3} + 25 y ^{2}}{2}

Apply the fraction rule:

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

\frac{9 y ^{4} - 30 y ^{3} + 25 y ^{2}}{2} = \frac{9 y ^{4}}{2} - \frac{30 y ^{3}}{2} + \frac{25 y ^{2}}{2}

= \frac{9 y ^{4}}{2} - \frac{30 y ^{3}}{2} + \frac{25 y ^{2}}{2}

Divide the numbers:

\frac{30}{2} = 15

= \frac{9 y ^{4}}{2} - 15 y^{3} + \frac{25 y ^{2}}{2}

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What is expand ((3y-5)^2y^2)/2 ?
The solution to expand ((3y-5)^2y^2)/2 is (9y^4)/2-15y^3+(25y^2)/2