What is (y^2-3y-5)-(-y^2-7y+4) ?

The solution to (y^2-3y-5)-(-y^2-7y+4) is 2y^2+4y-9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (y^2-3y-5)-(-y^2-7y+4)

simplify

(y^{2} - 3 y - 5) - (- y^{2} - 7 y + 4)

2 y^{2} + 4 y - 9

Solution steps

(y^{2} - 3 y - 5) - (- y^{2} - 7 y + 4)

Apply rule:

(a) = a

(y^{2} - 3 y - 5) = y^{2} - 3 y - 5

= y^{2} - 3 y - 5 - (- y^{2} - 7 y + 4)

Apply the distributive law:

- (- a - b) = a + b

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

= y^{2} - 3 y - 5 + y^{2} + 7 y - 4

Group like terms

= y^{2} + y^{2} - 3 y + 7 y - 5 - 4

Add similar elements:

y^{2} + y^{2} = 2 y^{2}

= 2 y^{2} - 3 y + 7 y - 5 - 4

Add similar elements:

- 3 y + 7 y = 4 y

= 2 y^{2} + 4 y - 5 - 4

Subtract the numbers:

- 5 - 4 = - 9

= 2 y^{2} + 4 y - 9

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

18 x^{10} - 2

\frac{x + h}{( x + h ) ^{2} + 1}

\frac{35}{49}

0 \cdot 2

What is (y^2-3y-5)-(-y^2-7y+4) ?
The solution to (y^2-3y-5)-(-y^2-7y+4) is 2y^2+4y-9