Pre-Algebra Examples

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

Step 1

Remove parentheses.

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

Step 2

Subtract $7 x^{3}$ from $- 5 x^{3}$ .

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

Step 3

Add $- 4 x^{2}$ and $9 x^{2}$ .

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

Step 4

Add $7$ and $4$ .

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