What is expand (2x^2-x+3)^2 ?

The solution to expand (2x^2-x+3)^2 is 4x^4-4x^3+13x^2-6x+9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (2x^2-x+3)^2

expand

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

4 x^{4} - 4 x^{3} + 13 x^{2} - 6 x + 9

Solution steps

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

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

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

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

Distribute parentheses

= 2 x^{2} \cdot 2 x^{2} + 2 x^{2} (- x) + 2 x^{2} \cdot 3 - x \cdot 2 x^{2} - x (- x) - x \cdot 3 + 3 \cdot 2 x^{2} + 3 (- x) + 3 \cdot 3

Simplify

2 x^{2} \cdot 2 x^{2} + 2 x^{2} (- x) + 2 x^{2} \cdot 3 - x \cdot 2 x^{2} - x (- x) - x \cdot 3 + 3 \cdot 2 x^{2} + 3 (- x) + 3 \cdot 3 : 4 x^{4} - 4 x^{3} + 13 x^{2} - 6 x + 9

= 4 x^{4} - 4 x^{3} + 13 x^{2} - 6 x + 9

- (- 5.5 w + x) - 4

6 x^{2} - 17 x + 10

lo g_{23} (20736)

4 \cdot 35

\frac{4 x ^{4} y ^{4}}{12 x ^{5} y}

What is expand (2x^2-x+3)^2 ?
The solution to expand (2x^2-x+3)^2 is 4x^4-4x^3+13x^2-6x+9