What is 1/(4(sqrt(8-a-b)-y)^2) ?

The solution to 1/(4(sqrt(8-a-b)-y)^2) is 1/(4(8-a-b-2ysqrt(8-a-b)+y^2))

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simplify 1/(4(sqrt(8-a-b)-y)^2)

simplify

\frac{1}{4 ( 8 - a - b - y ) ^{2}}

\frac{1}{4 ( 8 - a - b - 2 y 8 - a - b + y ^{2} )}

Solution steps

\frac{1}{4 ( 8 - a - b - y ) ^{2}}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(8 - a - b - y)^{2} = (8 - a - b)^{2} - 2 8 - a - b y + y^{2}

= \frac{1}{4 ( ( 8 - a - b ) ^{2} - 2 8 - a - b y + y ^{2} )}

Simplify

(8 - a - b)^{2} - 2 8 - a - b y + y^{2} : 8 - a - b - 2 y 8 - a - b + y^{2}

= \frac{1}{4 ( 8 - a - b - 2 y 8 - a - b + y ^{2} )}

a sin (\frac{π}{4} (k + 1)) + b cos (\frac{π}{4} (k + 1))

- 3 (8 e^{- 3 x} - 2 cos (2 x) + 3 sin (2 x)) + 13 sin (2 t)

\frac{( 2 x - 7 ) ( x + 1 )}{x + 5}

d x (\frac{1}{15} arctan (\frac{x}{5}) + c)

\frac{3 ( x - 5 )}{2 ( x ^{2} + 5 - 2 s )}

What is 1/(4(sqrt(8-a-b)-y)^2) ?
The solution to 1/(4(sqrt(8-a-b)-y)^2) is 1/(4(8-a-b-2ysqrt(8-a-b)+y^2))