What is expand (sqrt(ax+36)-6-2x)^2 ?

The solution to expand (sqrt(ax+36)-6-2x)^2 is 4x^2+24x-12sqrt(ax+36)+ax-4xsqrt(ax+36)+72

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expand (sqrt(ax+36)-6-2x)^2

expand

(a x + 36 - 6 - 2 x)^{2}

4 x^{2} + 24 x - 12 a x + 36 + a x - 4 x a x + 36 + 72

Solution steps

(a x + 36 - 6 - 2 x)^{2}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

(a x + 36 - 6 - 2 x)^{2} = (a x + 36 - 6 - 2 x) (a x + 36 - 6 - 2 x)

= (a x + 36 - 6 - 2 x) (a x + 36 - 6 - 2 x)

Distribute parentheses

= a x + 36 a x + 36 + a x + 36 (- 6) + a x + 36 (- 2 x) - 6 a x + 36 - 6 (- 6) - 6 (- 2 x) - 2 x a x + 36 - 2 x (- 6) - 2 x (- 2 x)

Simplify

a x + 36 a x + 36 + a x + 36 (- 6) + a x + 36 (- 2 x) - 6 a x + 36 - 6 (- 6) - 6 (- 2 x) - 2 x a x + 36 - 2 x (- 6) - 2 x (- 2 x) : 4 x^{2} + 24 x - 12 a x + 36 + a x - 4 x a x + 36 + 72

= 4 x^{2} + 24 x - 12 a x + 36 + a x - 4 x a x + 36 + 72

\frac{1}{1 + 0.5 x ^{- 1}}

\frac{( e ^{- 2 t} ) ( cos ( t ) - cos ( 2 t ) )}{t}

d x (9 x^{2} + 7)

- \frac{2 x + h}{( x ^{2} - 4 ) ( ( x + h ) ^{2} - 4 )}

What is expand (sqrt(ax+36)-6-2x)^2 ?
The solution to expand (sqrt(ax+36)-6-2x)^2 is 4x^2+24x-12sqrt(ax+36)+ax-4xsqrt(ax+36)+72