What is expand (x-6+sqrt(5))(x-6-sqrt(5))(x-4) ?

The solution to expand (x-6+sqrt(5))(x-6-sqrt(5))(x-4) is x^3-16x^2+79x-124

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expand (x-6+sqrt(5))(x-6-sqrt(5))(x-4)

expand

(x - 6 + 5) (x - 6 - 5) (x - 4)

x^{3} - 16 x^{2} + 79 x - 124

Solution steps

(x - 6 + 5) (x - 6 - 5) (x - 4)

Expand

(x - 6 + 5) (x - 6 - 5) : x^{2} - 12 x + 31

= (x^{2} - 12 x + 31) (x - 4)

Distribute parentheses

= x^{2} x + x^{2} (- 4) - 12 xx - 12 x (- 4) + 31 x + 31 (- 4)

Simplify

x^{2} x + x^{2} (- 4) - 12 xx - 12 x (- 4) + 31 x + 31 (- 4) : x^{3} - 16 x^{2} + 79 x - 124

= x^{3} - 16 x^{2} + 79 x - 124

\frac{61 ( y ^{2} - 14 y + 49 )}{12}

\frac{2 ( 2 a - 1 )}{3 ( 10 a ^{2} - 5 )}

36 (e^{4} - e)

\frac{8}{( x + 8 ) ^{2}}

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

What is expand (x-6+sqrt(5))(x-6-sqrt(5))(x-4) ?
The solution to expand (x-6+sqrt(5))(x-6-sqrt(5))(x-4) is x^3-16x^2+79x-124