What is (y^2-4y+9)-(3y^2-6y-9) ?

The solution to (y^2-4y+9)-(3y^2-6y-9) is -2y^2+2y+18

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simplify (y^2-4y+9)-(3y^2-6y-9)

simplify

(y^{2} - 4 y + 9) - (3 y^{2} - 6 y - 9)

- 2 y^{2} + 2 y + 18

Solution steps

(y^{2} - 4 y + 9) - (3 y^{2} - 6 y - 9)

Apply rule:

(a) = a

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

= y^{2} - 4 y + 9 - (3 y^{2} - 6 y - 9)

Apply the distributive law:

- (a - b) = - a + b

- (3 y^{2} - 6 y - 9) = - 3 y^{2} + 6 y + 9

= y^{2} - 4 y + 9 - 3 y^{2} + 6 y + 9

Group like terms

= y^{2} - 3 y^{2} - 4 y + 6 y + 9 + 9

Add similar elements:

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

= - 2 y^{2} - 4 y + 6 y + 9 + 9

Add similar elements:

- 4 y + 6 y = 2 y

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

Add the numbers:

9 + 9 = 18

= - 2 y^{2} + 2 y + 18

6175 + 728

4 t^{2} + 4 t + 1

\frac{96}{100}

3 x^{2} y + 6 x y - 5 x - 10

\frac{2}{3 - 7}

What is (y^2-4y+9)-(3y^2-6y-9) ?
The solution to (y^2-4y+9)-(3y^2-6y-9) is -2y^2+2y+18