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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

factor

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

(3 x - 1) (x + 3)

Solution steps

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

Apply Difference of Two Squares Formula:

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

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

= ((2 x + 1) + (x - 2)) ((2 x + 1) - (x - 2))

Simplify

((2 x + 1) + (x - 2)) ((2 x + 1) - (x - 2)) : (3 x - 1) (x + 3)

= (3 x - 1) (x + 3)

- \frac{5 π}{6} + 2 π

\frac{3}{2} \cdot \frac{1}{8}

x^{2} - 4 x - 77 = 0

3 x^{2} + 14 x + 11

8 x^{2} - 10 x y + 3 y^{2}

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