What is (y^2-6y+2)-(3y^2+7y-1) ?

The solution to (y^2-6y+2)-(3y^2+7y-1) is -2y^2-13y+3

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simplify (y^2-6y+2)-(3y^2+7y-1)

simplify

(y^{2} - 6 y + 2) - (3 y^{2} + 7 y - 1)

- 2 y^{2} - 13 y + 3

Solution steps

(y^{2} - 6 y + 2) - (3 y^{2} + 7 y - 1)

Apply rule:

(a) = a

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

= y^{2} - 6 y + 2 - (3 y^{2} + 7 y - 1)

Apply the distributive law:

- (a + b) = - a - b

- (3 y^{2} + 7 y - 1) = - 3 y^{2} - 7 y + 1

= y^{2} - 6 y + 2 - 3 y^{2} - 7 y + 1

Group like terms

= y^{2} - 3 y^{2} - 6 y - 7 y + 2 + 1

Add similar elements:

y^{2} - 3 y^{2} = - 2 y^{2}

= - 2 y^{2} - 6 y - 7 y + 2 + 1

Add similar elements:

- 6 y - 7 y = - 13 y

= - 2 y^{2} - 13 y + 2 + 1

Add the numbers:

2 + 1 = 3

= - 2 y^{2} - 13 y + 3

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What is (y^2-6y+2)-(3y^2+7y-1) ?
The solution to (y^2-6y+2)-(3y^2+7y-1) is -2y^2-13y+3