What is expand ((-y^2+4)^2)/2 ?

The solution to expand ((-y^2+4)^2)/2 is (y^4)/2-4y^2+8

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expand ((-y^2+4)^2)/2

expand

\frac{( - y ^{2} + 4 ) ^{2}}{2}

\frac{y ^{4}}{2} - 4 y^{2} + 8

Solution steps

\frac{( - y ^{2} + 4 ) ^{2}}{2}

(- y^{2} + 4)^{2} = y^{4} - 8 y^{2} + 16

= \frac{y ^{4} - 8 y ^{2} + 16}{2}

Apply the fraction rule:

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

\frac{y ^{4} - 8 y ^{2} + 16}{2} = \frac{y ^{4}}{2} - \frac{8 y ^{2}}{2} + \frac{16}{2}

= \frac{y ^{4}}{2} - \frac{8 y ^{2}}{2} + \frac{16}{2}

Divide the numbers:

\frac{8}{2} = 4

= \frac{y ^{4}}{2} - 4 y^{2} + \frac{16}{2}

Divide the numbers:

\frac{16}{2} = 8

= \frac{y ^{4}}{2} - 4 y^{2} + 8

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What is expand ((-y^2+4)^2)/2 ?
The solution to expand ((-y^2+4)^2)/2 is (y^4)/2-4y^2+8