What is (6x^2+3y^2-7x+4y-2)-(2x^2-y^2-7x+8) ?

The solution to (6x^2+3y^2-7x+4y-2)-(2x^2-y^2-7x+8) is 4x^2+4y^2+4y-10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (6x^2+3y^2-7x+4y-2)-(2x^2-y^2-7x+8)

simplify

(6 x^{2} + 3 y^{2} - 7 x + 4 y - 2) - (2 x^{2} - y^{2} - 7 x + 8)

4 x^{2} + 4 y^{2} + 4 y - 10

Solution steps

(6 x^{2} + 3 y^{2} - 7 x + 4 y - 2) - (2 x^{2} - y^{2} - 7 x + 8)

Apply rule:

(a) = a

(6 x^{2} + 3 y^{2} - 7 x + 4 y - 2) = 6 x^{2} + 3 y^{2} - 7 x + 4 y - 2

= 6 x^{2} + 3 y^{2} - 7 x + 4 y - 2 - (2 x^{2} - y^{2} - 7 x + 8)

Apply the distributive law:

- (a - b) = - a + b

- (2 x^{2} - y^{2} - 7 x + 8) = - 2 x^{2} + y^{2} + 7 x - 8

= 6 x^{2} + 3 y^{2} - 7 x + 4 y - 2 - 2 x^{2} + y^{2} + 7 x - 8

Group like terms

= 6 x^{2} - 2 x^{2} - 7 x + 7 x + 3 y^{2} + y^{2} + 4 y - 2 - 8

Add similar elements:

6 x^{2} - 2 x^{2} = 4 x^{2}

= 4 x^{2} - 7 x + 7 x + 3 y^{2} + y^{2} + 4 y - 2 - 8

Add similar elements:

- 7 x + 7 x = 0

= 4 x^{2} + 3 y^{2} + y^{2} + 4 y - 2 - 8

Add similar elements:

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

= 4 x^{2} + 4 y^{2} + 4 y - 2 - 8

Subtract the numbers:

- 2 - 8 = - 10

= 4 x^{2} + 4 y^{2} + 4 y - 10

\frac{( 4 h ^{4} ) ^{4}}{4 h ^{- 8}}

(x^{2} - \frac{1}{2} x)^{2}

\frac{x}{2 x}

\frac{2}{x - 4} - 7 x

\frac{6 a ^{2} x ^{3}}{\frac{a ^{2} x}{5}}

What is (6x^2+3y^2-7x+4y-2)-(2x^2-y^2-7x+8) ?
The solution to (6x^2+3y^2-7x+4y-2)-(2x^2-y^2-7x+8) is 4x^2+4y^2+4y-10