Simplify (24py-8y^3-13q^2)-(2py-15y^3+17q^2)

$(24 p y - 8 y^{3} - 13 q^{2}) - (2 p y - 15 y^{3} + 17 q^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$24 p y - 8 y^{3} - 13 q^{2} - (2 p y) - (- 15 y^{3}) - (17 q^{2})$

Simplify.

Multiply $2$ by $- 1$ .

$24 p y - 8 y^{3} - 13 q^{2} - 2 (p y) - (- 15 y^{3}) - (17 q^{2})$

Multiply $- 15$ by $- 1$ .

$24 p y - 8 y^{3} - 13 q^{2} - 2 (p y) + 15 y^{3} - (17 q^{2})$

Multiply $17$ by $- 1$ .

$24 p y - 8 y^{3} - 13 q^{2} - 2 (p y) + 15 y^{3} - 17 q^{2}$

$24 p y - 8 y^{3} - 13 q^{2} - 2 p y + 15 y^{3} - 17 q^{2}$

Step 2

Simplify by adding terms.

Subtract $2 p y$ from $24 p y$ .

$- 8 y^{3} - 13 q^{2} + 22 p y + 15 y^{3} - 17 q^{2}$

Add $- 8 y^{3}$ and $15 y^{3}$ .

$7 y^{3} - 13 q^{2} + 22 p y - 17 q^{2}$

Subtract $17 q^{2}$ from $- 13 q^{2}$ .

$7 y^{3} - 30 q^{2} + 22 p y$