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

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

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simplify (sqrt(ax+36)+6+2x)(sqrt(ax+36)-6-2x)

simplify

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

- 4 x^{2} - 24 x + a x

Solution steps

(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 + a x

= - 4 x^{2} - 24 x + a x

(x - \frac{7}{3})^{2}

\frac{( x + 6 ) ( x - 4 ) ( x + 9 )}{5 ( x + 1 ) ( x - 1 ) ( x + 8 )}

\frac{s ^{2} - a ^{2}}{( s ^{2} + a ^{2} ) ^{2}}

\frac{( x - i y ) ^{3}}{( x + i y ) ^{2}}

(\frac{15}{s + 1} + 35 s - 21) (s^{2} + 3)

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