What is (x+2)(x-3)-(-2x+1)(x-5) ?

The solution to (x+2)(x-3)-(-2x+1)(x-5) is 3x^2-12x-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

3 x^{2} - 12 x - 1

Solution steps

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

Expand

(x + 2) (x - 3) : x^{2} - x - 6

= x^{2} - x - 6 - (- 2 x + 1) (x - 5)

Expand

- (- 2 x + 1) (x - 5) : 2 x^{2} - 11 x + 5

= x^{2} - x - 6 + 2 x^{2} - 11 x + 5

Group like terms

= x^{2} + 2 x^{2} - x - 11 x - 6 + 5

Add similar elements:

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

= 3 x^{2} - x - 11 x - 6 + 5

Add similar elements:

- x - 11 x = - 12 x

= 3 x^{2} - 12 x - 6 + 5

Add the numbers:

- 6 + 5 = - 1

= 3 x^{2} - 12 x - 1

- \frac{1}{5} \cdot (- 2)

3 + 0

\frac{51}{6}

9 - (2)^{2}

4 (x - 5)^{2}

What is (x+2)(x-3)-(-2x+1)(x-5) ?
The solution to (x+2)(x-3)-(-2x+1)(x-5) is 3x^2-12x-1