Algebra Examples

$(3 x^{4} + 9 x^{3} - 7 x + 15) + (- 6 x^{4} - 8 x^{2} + 5 x - 3)$

Step 1

Remove parentheses.

$3 x^{4} + 9 x^{3} - 7 x + 15 - 6 x^{4} - 8 x^{2} + 5 x - 3$

Step 2

Subtract $6 x^{4}$ from $3 x^{4}$ .

$- 3 x^{4} + 9 x^{3} - 7 x + 15 - 8 x^{2} + 5 x - 3$

Step 3

Add $- 7 x$ and $5 x$ .

$- 3 x^{4} + 9 x^{3} - 2 x + 15 - 8 x^{2} - 3$

Step 4

Simplify the expression.

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Step 4.1

Subtract $3$ from $15$ .

$- 3 x^{4} + 9 x^{3} - 2 x - 8 x^{2} + 12$

Step 4.2

Move $- 2 x$ .

$- 3 x^{4} + 9 x^{3} - 8 x^{2} - 2 x + 12$