What is expand (x^2+x+2)(x^2+8x-10) ?

The solution to expand (x^2+x+2)(x^2+8x-10) is x^4+9x^3+6x-20

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expand (x^2+x+2)(x^2+8x-10)

expand

(x^{2} + x + 2) (x^{2} + 8 x - 10)

x^{4} + 9 x^{3} + 6 x - 20

Solution steps

(x^{2} + x + 2) (x^{2} + 8 x - 10)

Distribute parentheses

= x^{2} x^{2} + x^{2} \cdot 8 x + x^{2} (- 10) + x x^{2} + x \cdot 8 x + x (- 10) + 2 x^{2} + 2 \cdot 8 x + 2 (- 10)

Simplify

x^{2} x^{2} + x^{2} \cdot 8 x + x^{2} (- 10) + x x^{2} + x \cdot 8 x + x (- 10) + 2 x^{2} + 2 \cdot 8 x + 2 (- 10) : x^{4} + 9 x^{3} + 6 x - 20

= x^{4} + 9 x^{3} + 6 x - 20

(s - 2) (s + 2)

(3 x + 2 y)^{5}

(- 4 x) (5 x)

k^{- \frac{1}{3}}

e^{4 πi}

What is expand (x^2+x+2)(x^2+8x-10) ?
The solution to expand (x^2+x+2)(x^2+8x-10) is x^4+9x^3+6x-20