Algebra Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Apply the distributive property.

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

Step 1.2

Simplify.

Tap for more steps...

Step 1.2.1

Multiply $- 6$ by $- 1$ .

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

Step 1.2.2

Multiply $- 7$ by $- 1$ .

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

Step 1.2.3

Multiply $- 4$ by $- 1$ .

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

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

Step 2

Simplify by adding terms.

Tap for more steps...

Step 2.1

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

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

Step 2.2

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

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