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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor (2x+1)^2-(3x+2)^2

factor

(2 x + 1)^{2} - (3 x + 2)^{2}

- (5 x + 3) (x + 1)

Solution steps

(2 x + 1)^{2} - (3 x + 2)^{2}

Apply Difference of Two Squares Formula:

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

(2 x + 1)^{2} - (3 x + 2)^{2} = ((2 x + 1) + (3 x + 2)) ((2 x + 1) - (3 x + 2))

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

Simplify

((2 x + 1) + (3 x + 2)) ((2 x + 1) - (3 x + 2)) : (5 x + 3) (- x - 1)

= (5 x + 3) (- x - 1)

Factor

- x - 1 : - (x + 1)

= (5 x + 3) (- (x + 1))

Apply rule:

a (- b) = - ab

(5 x + 3) (- (x + 1)) = - (5 x + 3) (x + 1)

= - (5 x + 3) (x + 1)

3^{2} + 4^{2} = c^{2}

5 b^{2} + 5 b

512 x^{3} - 729 y^{3}

\frac{1}{4} (2)^{2}

- 38 - 200

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