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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

expand

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

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

Solution steps

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

Distribute parentheses

= x^{2} \cdot 2 x^{2} + x^{2} (- x) + x^{2} \cdot 2 + x \cdot 2 x^{2} + x (- x) + x \cdot 2 - 1 \cdot 2 x^{2} - 1 \cdot (- x) - 1 \cdot 2

Simplify

x^{2} \cdot 2 x^{2} + x^{2} (- x) + x^{2} \cdot 2 + x \cdot 2 x^{2} + x (- x) + x \cdot 2 - 1 \cdot 2 x^{2} - 1 \cdot (- x) - 1 \cdot 2 : 2 x^{4} + x^{3} - x^{2} + 3 x - 2

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

\frac{- 80}{10}

\frac{1}{- 8 i}

- \frac{5}{6} - \frac{5}{9}

\frac{12 x}{2}

\frac{1}{2} + \frac{1}{x}

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