What is expand ((2y+sqrt(8))^2)/4 ?

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

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expand ((2y+sqrt(8))^2)/4

expand

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

y^{2} + 22 y + 2

Solution steps

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

(2 y + 8)^{2} = 4 y^{2} + 82 y + 8

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

Factor

4 y^{2} + 82 y + 8 : 4 (y^{2} + 22 y + 2)

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

Divide the numbers:

\frac{4}{4} = 1

= y^{2} + 22 y + 2

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

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

- lo g_{10} (2) (6 - x)

\frac{8 s ^{2} + 18}{( s ^{2} + 4 s + 6 ) ^{2}}

(- sin (t) + cos (t)) (- cos (t) - sin (t))

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