Pre-Algebra Examples

(- x^{4} - 5 x^{3} - 4 x^{2} + 7) + (- 7 x^{3} + 9 x^{2} - 2 x + 4)

$(- x^{4} - 5 x^{3} - 4 x^{2} + 7) + (- 7 x^{3} + 9 x^{2} - 2 x + 4)$

Step 1

Remove parentheses.

- x^{4} - 5 x^{3} - 4 x^{2} + 7 - 7 x^{3} + 9 x^{2} - 2 x + 4

$- x^{4} - 5 x^{3} - 4 x^{2} + 7 - 7 x^{3} + 9 x^{2} - 2 x + 4$

Step 2

Subtract

7 x^{3}

$7 x^{3}$ from

- 5 x^{3}

$- 5 x^{3}$ .

- x^{4} - 12 x^{3} - 4 x^{2} + 7 + 9 x^{2} - 2 x + 4

$- x^{4} - 12 x^{3} - 4 x^{2} + 7 + 9 x^{2} - 2 x + 4$

Step 3

Add

- 4 x^{2}

$- 4 x^{2}$ and

9 x^{2}

$9 x^{2}$ .

- x^{4} - 12 x^{3} + 5 x^{2} + 7 - 2 x + 4

$- x^{4} - 12 x^{3} + 5 x^{2} + 7 - 2 x + 4$

Step 4

Add

7

$7$ and

4

$4$ .

- x^{4} - 12 x^{3} + 5 x^{2} - 2 x + 11

$- x^{4} - 12 x^{3} + 5 x^{2} - 2 x + 11$