What is (4y^2+7y-2)-(-3y^2-5y+10) ?

The solution to (4y^2+7y-2)-(-3y^2-5y+10) is 7y^2+12y-12

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simplify (4y^2+7y-2)-(-3y^2-5y+10)

simplify

(4 y^{2} + 7 y - 2) - (- 3 y^{2} - 5 y + 10)

7 y^{2} + 12 y - 12

Solution steps

(4 y^{2} + 7 y - 2) - (- 3 y^{2} - 5 y + 10)

Apply rule:

(a) = a

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

= 4 y^{2} + 7 y - 2 - (- 3 y^{2} - 5 y + 10)

Apply the distributive law:

- (- a - b) = a + b

- (- 3 y^{2} - 5 y + 10) = 3 y^{2} + 5 y - 10

= 4 y^{2} + 7 y - 2 + 3 y^{2} + 5 y - 10

Group like terms

= 4 y^{2} + 3 y^{2} + 7 y + 5 y - 2 - 10

Add similar elements:

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

= 7 y^{2} + 7 y + 5 y - 2 - 10

Add similar elements:

7 y + 5 y = 12 y

= 7 y^{2} + 12 y - 2 - 10

Subtract the numbers:

- 2 - 10 = - 12

= 7 y^{2} + 12 y - 12

- 4 x^{2} + 1

(4 + h)^{2} - 2 (4 + h)

\frac{3}{5} + \frac{1}{3} - 2

(x + 3 y) (2 x + y)

\frac{8}{72}

What is (4y^2+7y-2)-(-3y^2-5y+10) ?
The solution to (4y^2+7y-2)-(-3y^2-5y+10) is 7y^2+12y-12