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

The solution to (y^2+2y-3)-(4y^2-5y-2) is -3y^2+7y-1

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

simplify

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

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

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

y^{2} - 4 y^{2} = - 3 y^{2}

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

Add similar elements:

2 y + 5 y = 7 y

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

Add the numbers:

- 3 + 2 = - 1

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

3 \cdot 2^{- 1}

3 \cdot 2^{- 2}

4 (x - 2 y) - (2 x - 9 y)

6 \cdot 12

\frac{3}{10} \div \frac{2}{7}

What is (y^2+2y-3)-(4y^2-5y-2) ?
The solution to (y^2+2y-3)-(4y^2-5y-2) is -3y^2+7y-1