What is expand ((10+y)(y+2))/2 ?

The solution to expand ((10+y)(y+2))/2 is (y^2)/2+6y+10

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expand ((10+y)(y+2))/2

expand

\frac{( 10 + y ) ( y + 2 )}{2}

\frac{y ^{2}}{2} + 6 y + 10

Solution steps

\frac{( 10 + y ) ( y + 2 )}{2}

Expand

(10 + y) (y + 2) : 12 y + y^{2} + 20

= \frac{12 y + y ^{2} + 20}{2}

Apply the fraction rule:

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

\frac{12 y + y ^{2} + 20}{2} = \frac{12 y}{2} + \frac{y ^{2}}{2} + \frac{20}{2}

= \frac{12 y}{2} + \frac{y ^{2}}{2} + \frac{20}{2}

Divide the numbers:

\frac{12}{2} = 6

= 6 y + \frac{y ^{2}}{2} + \frac{20}{2}

Divide the numbers:

\frac{20}{2} = 10

= 6 y + \frac{y ^{2}}{2} + 10

Rewrite in standard form

= \frac{y ^{2}}{2} + 6 y + 10

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\frac{cos ^{3} ( n ) ( n + 1 )}{n ^{3}}

- 2 (- 2 e^{- 2 x} x^{2} + 2 e^{- 2 x} x)

(2 x + cos (x)) (3 - e^{x})

\frac{( 4 e ^{x} ( 4 - e ^{x} ) )}{( 4 + e ^{x} ) ^{3}}

What is expand ((10+y)(y+2))/2 ?
The solution to expand ((10+y)(y+2))/2 is (y^2)/2+6y+10