What is (x+sqrt(2))^2(x-sqrt(2)) ?

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

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simplify (x+sqrt(2))^2(x-sqrt(2))

simplify

(x + 2)^{2} (x - 2)

x^{3} + 2 x^{2} - 2 x - 22

Solution steps

(x + 2)^{2} (x - 2)

Expand

(x + 2)^{2} : x^{2} + 22 x + 2

= (x^{2} + 22 x + 2) (x - 2)

Distribute parentheses

= x^{2} x + x^{2} (- 2) + 22 xx + 22 x (- 2) + 2 x + 2 (- 2)

Simplify

x^{2} x + x^{2} (- 2) + 22 xx + 22 x (- 2) + 2 x + 2 (- 2) : x^{3} + 2 x^{2} - 2 x - 22

= x^{3} + 2 x^{2} - 2 x - 22

(2 cos (x) - 2) (2 sin (x) + 2)

(1 - p + p \times e^{t})^{3}

(2 x y e^{x^{2}} + ln (y)) d x + (e^{x^{2}} + \frac{x}{y}) d y

\frac{d}{d x} ((x) \times (1 + \frac{1}{x}))

4 (csc^{2} (3 θ) + 3 cot^{2} (3 θ))

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