What is expand (x^2+2x-2)(2x^2+x+1) ?

The solution to expand (x^2+2x-2)(2x^2+x+1) is 2x^4+5x^3-x^2-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (x^2+2x-2)(2x^2+x+1)

expand

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

2 x^{4} + 5 x^{3} - x^{2} - 2

Solution steps

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

Distribute parentheses

= x^{2} \cdot 2 x^{2} + x^{2} x + x^{2} \cdot 1 + 2 x \cdot 2 x^{2} + 2 xx + 2 x \cdot 1 - 2 \cdot 2 x^{2} - 2 x - 2 \cdot 1

Simplify

x^{2} \cdot 2 x^{2} + x^{2} x + x^{2} \cdot 1 + 2 x \cdot 2 x^{2} + 2 xx + 2 x \cdot 1 - 2 \cdot 2 x^{2} - 2 x - 2 \cdot 1 : 2 x^{4} + 5 x^{3} - x^{2} - 2

= 2 x^{4} + 5 x^{3} - x^{2} - 2

3 (x - 3)^{2} + 5 (x - 3) + 13

- (- 14) (- 21)

3 a b^{2} - 6 a^{2} b

90 \cdot 7

What is expand (x^2+2x-2)(2x^2+x+1) ?
The solution to expand (x^2+2x-2)(2x^2+x+1) is 2x^4+5x^3-x^2-2