Pre-Algebra Examples

(- 2 x^{2} + 10 x^{4} + x^{3}) + (4 x^{3} + 3 x^{4} + 8 x^{2})

$(- 2 x^{2} + 10 x^{4} + x^{3}) + (4 x^{3} + 3 x^{4} + 8 x^{2})$

Step 1

Remove parentheses.

- 2 x^{2} + 10 x^{4} + x^{3} + 4 x^{3} + 3 x^{4} + 8 x^{2}

$- 2 x^{2} + 10 x^{4} + x^{3} + 4 x^{3} + 3 x^{4} + 8 x^{2}$

Step 2

Add

- 2 x^{2}

$- 2 x^{2}$ and

8 x^{2}

$8 x^{2}$ .

10 x^{4} + x^{3} + 4 x^{3} + 3 x^{4} + 6 x^{2}

$10 x^{4} + x^{3} + 4 x^{3} + 3 x^{4} + 6 x^{2}$

Step 3

Add

10 x^{4}

$10 x^{4}$ and

3 x^{4}

$3 x^{4}$ .

13 x^{4} + x^{3} + 4 x^{3} + 6 x^{2}

$13 x^{4} + x^{3} + 4 x^{3} + 6 x^{2}$

Step 4

Add

x^{3}

$x^{3}$ and

4 x^{3}

$4 x^{3}$ .

13 x^{4} + 5 x^{3} + 6 x^{2}

$13 x^{4} + 5 x^{3} + 6 x^{2}$