Simplify (4x^2+7x^3y^2)-(-6x^2-7x^3y^2-4x)-(10x+9x^2)

$(4 x^{2} + 7 x^{3} y^{2}) - (- 6 x^{2} - 7 x^{3} y^{2} - 4 x) - (10 x + 9 x^{2})$

Step 1

Simplify each term.

Apply the distributive property.

$4 x^{2} + 7 x^{3} y^{2} - (- 6 x^{2}) - (- 7 x^{3} y^{2}) - (- 4 x) - (10 x + 9 x^{2})$

Simplify.

Multiply $- 6$ by $- 1$ .

$4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} - (- 7 x^{3} y^{2}) - (- 4 x) - (10 x + 9 x^{2})$

Multiply $- 7$ by $- 1$ .

$4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} + 7 (x^{3} y^{2}) - (- 4 x) - (10 x + 9 x^{2})$

Multiply $- 4$ by $- 1$ .

$4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} + 7 (x^{3} y^{2}) + 4 x - (10 x + 9 x^{2})$

Apply the distributive property.

$4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} + 7 x^{3} y^{2} + 4 x - (10 x) - (9 x^{2})$

Multiply $10$ by $- 1$ .

$4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} + 7 x^{3} y^{2} + 4 x - 10 x - (9 x^{2})$

Multiply $9$ by $- 1$ .

$4 x^{2} + 7 x^{3} y^{2} + 6 x^{2} + 7 x^{3} y^{2} + 4 x - 10 x - 9 x^{2}$

Step 2

Simplify by adding terms.

Add $4 x^{2}$ and $6 x^{2}$ .

$10 x^{2} + 7 x^{3} y^{2} + 7 x^{3} y^{2} + 4 x - 10 x - 9 x^{2}$

Subtract $9 x^{2}$ from $10 x^{2}$ .

$x^{2} + 7 x^{3} y^{2} + 7 x^{3} y^{2} + 4 x - 10 x$

Add $7 x^{3} y^{2}$ and $7 x^{3} y^{2}$ .

$x^{2} + 14 x^{3} y^{2} + 4 x - 10 x$

Subtract $10 x$ from $4 x$ .

$x^{2} + 14 x^{3} y^{2} - 6 x$