What is simplify-8(y/4-(y^2)/2) ?

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

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simplify-8(y/4-(y^2)/2)

simplify

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

- 2 y + 4 y^{2}

Solution steps

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

Join

\frac{y}{4} - \frac{y ^{2}}{2} : \frac{y - y ^{2} \cdot 2}{4}

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

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

Apply the fraction rule:

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

= - \frac{8 ( y - 2 y ^{2} )}{4}

Divide the numbers:

\frac{8}{4} = 2

= - 2 (y - 2 y^{2})

Expand

- 2 (y - 2 y^{2}) : - 2 y + 4 y^{2}

= - 2 y + 4 y^{2}

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

(- 3 x + 2 + 1) 3 x + 2

cot (x) \cdot (sec (x) + tan (x))

(4 - i)^{6}

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

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