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

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

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

simplify

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

- 6 y^{2} + 3 y + 10

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

- (2 y^{2} - 6 y - 2) = - 2 y^{2} + 6 y + 2

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

Group like terms

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

Add similar elements:

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

= - 6 y^{2} - 3 y + 6 y + 8 + 2

Add similar elements:

- 3 y + 6 y = 3 y

= - 6 y^{2} + 3 y + 8 + 2

Add the numbers:

8 + 2 = 10

= - 6 y^{2} + 3 y + 10

3.14 \cdot 1 1^{2}

t \cdot t^{\frac{1}{2}}

(5 - 6 i) (6 - 2 i)

u^{2} - 1

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