What is expand y((6-y)/3) ?

The solution to expand y((6-y)/3) is -(y^2)/3+2y

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expand y((6-y)/3)

expand

y (\frac{6 - y}{3})

- \frac{y ^{2}}{3} + 2 y

Solution steps

y (\frac{6 - y}{3})

Remove parentheses:

(a) = a

= y \frac{6 - y}{3}

Multiply fractions:

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

= \frac{( 6 - y ) y}{3}

Expand

(6 - y) y : 6 y - y^{2}

= \frac{6 y - y ^{2}}{3}

Apply the fraction rule:

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

\frac{6 y - y ^{2}}{3} = \frac{6 y}{3} - \frac{y ^{2}}{3}

= \frac{6 y}{3} - \frac{y ^{2}}{3}

Divide the numbers:

\frac{6}{3} = 2

= 2 y - \frac{y ^{2}}{3}

Rewrite in standard form

= - \frac{y ^{2}}{3} + 2 y

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

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(n - 1)! \cdot (n + 1)

e^{(2 x)} \cdot (1 - 2 x)