What is expand (x-sqrt(2))(x-3)(x-1) ?

The solution to expand (x-sqrt(2))(x-3)(x-1) is x^3+x^2(-4-sqrt(2))+x(3+4sqrt(2))-3sqrt(2)

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expand (x-sqrt(2))(x-3)(x-1)

expand

(x - 2) (x - 3) (x - 1)

x^{3} + x^{2} (- 4 - 2) + x (3 + 42) - 32

Solution steps

(x - 2) (x - 3) (x - 1)

Expand

(x - 2) (x - 3) (x - 1) : (x^{2} + x (- 3 - 2) + 32) (x - 1)

= (x^{2} + x (- 3 - 2) + 32) (x - 1)

Distribute parentheses

= x^{2} x + x^{2} (- 1) + x (- 3 - 2) x + x (- 3 - 2) (- 1) + 32 x + 32 (- 1)

Simplify

x^{2} x + x^{2} (- 1) + x (- 3 - 2) x + x (- 3 - 2) (- 1) + 32 x + 32 (- 1) : x^{3} + x^{2} (- 4 - 2) + x (3 + 42) - 32

= x^{3} + x^{2} (- 4 - 2) + x (3 + 42) - 32

(3 x^{\frac{5}{2}} - 7 y^{\frac{7}{2}}) (3 x^{\frac{5}{2}} + 7 y^{\frac{7}{2}})

\frac{135}{( 15 + x ) ^{2}}

(1 - t, - (1 - t)^{2} - t^{2}) \cdot (1 - t, t)

- 2 sin (3 \cdot 0) + 1

\frac{4 s ^{3} - 3 s ^{2} + s - 1}{s ^{2} ( s - 1 ) ( s ^{2} - 2 s + 5 )}

What is expand (x-sqrt(2))(x-3)(x-1) ?
The solution to expand (x-sqrt(2))(x-3)(x-1) is x^3+x^2(-4-sqrt(2))+x(3+4sqrt(2))-3sqrt(2)