Pre-Algebra Examples

$(9 x^{4} - 3 x^{3} + 4 x^{2} + 5 x + 7) + (11 x^{4} - 4 x^{2} - 11 x - 9)$

Step 1

Remove parentheses.

$9 x^{4} - 3 x^{3} + 4 x^{2} + 5 x + 7 + 11 x^{4} - 4 x^{2} - 11 x - 9$

Step 2

Combine the opposite terms in $9 x^{4} - 3 x^{3} + 4 x^{2} + 5 x + 7 + 11 x^{4} - 4 x^{2} - 11 x - 9$ .

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Step 2.1

Subtract $4 x^{2}$ from $4 x^{2}$ .

$9 x^{4} - 3 x^{3} + 5 x + 7 + 11 x^{4} + 0 - 11 x - 9$

Step 2.2

Add $9 x^{4} - 3 x^{3} + 5 x + 7 + 11 x^{4}$ and $0$ .

$9 x^{4} - 3 x^{3} + 5 x + 7 + 11 x^{4} - 11 x - 9$

Step 3

Add $9 x^{4}$ and $11 x^{4}$ .

$20 x^{4} - 3 x^{3} + 5 x + 7 - 11 x - 9$

Step 4

Subtract $11 x$ from $5 x$ .

$20 x^{4} - 3 x^{3} - 6 x + 7 - 9$

Step 5

Subtract $9$ from $7$ .

$20 x^{4} - 3 x^{3} - 6 x - 2$