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

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

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expand ,(-2y^2-3y+5)-(-y^2+4y+2)

expand

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

- y^{2} - 7 y + 3

Solution steps

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

Apply rule:

(a) = a

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

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

Expand

- (- y^{2} + 4 y + 2) : y^{2} - 4 y - 2

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

Simplify

- 2 y^{2} - 3 y + 5 + y^{2} - 4 y - 2 : - y^{2} - 7 y + 3

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

\frac{( 5 x ^{2} + 3 x ^{3} ) ^{7}}{7}

(x + 3 - 2) (x + 3 + 2)

\frac{2 k + 3}{( k + 1 ) ^{2}}

(2 + \frac{x}{2})^{8}

(x - 6)^{2}

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