What is (5x^2+7x-10)-(3x^2-3x+1) ?

The solution to (5x^2+7x-10)-(3x^2-3x+1) is 2x^2+10x-11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (5x^2+7x-10)-(3x^2-3x+1)

simplify

(5 x^{2} + 7 x - 10) - (3 x^{2} - 3 x + 1)

2 x^{2} + 10 x - 11

Solution steps

(5 x^{2} + 7 x - 10) - (3 x^{2} - 3 x + 1)

Apply rule:

(a) = a

(5 x^{2} + 7 x - 10) = 5 x^{2} + 7 x - 10

= 5 x^{2} + 7 x - 10 - (3 x^{2} - 3 x + 1)

Apply the distributive law:

- (a - b) = - a + b

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

= 5 x^{2} + 7 x - 10 - 3 x^{2} + 3 x - 1

Group like terms

= 5 x^{2} - 3 x^{2} + 7 x + 3 x - 10 - 1

Add similar elements:

5 x^{2} - 3 x^{2} = 2 x^{2}

= 2 x^{2} + 7 x + 3 x - 10 - 1

Add similar elements:

7 x + 3 x = 10 x

= 2 x^{2} + 10 x - 10 - 1

Subtract the numbers:

- 10 - 1 = - 11

= 2 x^{2} + 10 x - 11

1.00 8^{4}

\frac{56}{8}

\frac{14}{7}

6 \times (- 3)

3 x^{2} + 25 x + 42

What is (5x^2+7x-10)-(3x^2-3x+1) ?
The solution to (5x^2+7x-10)-(3x^2-3x+1) is 2x^2+10x-11