What is (3a^2-2ab+3b^2)-(-a^2-5ab+3b^2) ?

The solution to (3a^2-2ab+3b^2)-(-a^2-5ab+3b^2) is 4a^2+3ab

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (3a^2-2ab+3b^2)-(-a^2-5ab+3b^2)

simplify

(3 a^{2} - 2 ab + 3 b^{2}) - (- a^{2} - 5 ab + 3 b^{2})

4 a^{2} + 3 ab

Solution steps

(3 a^{2} - 2 ab + 3 b^{2}) - (- a^{2} - 5 ab + 3 b^{2})

Apply rule:

(a) = a

(3 a^{2} - 2 ab + 3 b^{2}) = 3 a^{2} - 2 ab + 3 b^{2}

= 3 a^{2} - 2 ab + 3 b^{2} - (- a^{2} - 5 ab + 3 b^{2})

Apply the distributive law:

- (- a - b) = a + b

- (- a^{2} - 5 ab + 3 b^{2}) = a^{2} + 5 ab - 3 b^{2}

= 3 a^{2} - 2 ab + 3 b^{2} + a^{2} + 5 ab - 3 b^{2}

Group like terms

= 3 a^{2} + a^{2} - 2 ab + 5 ab + 3 b^{2} - 3 b^{2}

Add similar elements:

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

= 4 a^{2} - 2 ab + 5 ab + 3 b^{2} - 3 b^{2}

Add similar elements:

- 2 ab + 5 ab = 3 ab

= 4 a^{2} + 3 ab + 3 b^{2} - 3 b^{2}

Add similar elements:

3 b^{2} - 3 b^{2} = 0

= 4 a^{2} + 3 ab

x^{2} - x = 1

\frac{3 x + 4}{3} - \frac{15 x}{3} = 6

\frac{1}{3} + \frac{2}{3}

y^{2} - y + \frac{1}{4} = 0

x^{2} > 11 - 4 x

What is (3a^2-2ab+3b^2)-(-a^2-5ab+3b^2) ?
The solution to (3a^2-2ab+3b^2)-(-a^2-5ab+3b^2) is 4a^2+3ab