Algebra Examples

$(10 x^{4} + 3 x^{2} - 5 x + 4) + (7 x^{5} - 5 x^{4} + 2 x - 9)$

Step 1

Remove parentheses.

$10 x^{4} + 3 x^{2} - 5 x + 4 + 7 x^{5} - 5 x^{4} + 2 x - 9$

Step 2

Subtract $5 x^{4}$ from $10 x^{4}$ .

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

Step 3

Add $- 5 x$ and $2 x$ .

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

Step 4

Simplify the expression.

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Step 4.1

Subtract $9$ from $4$ .

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

Step 4.2

Move $- 3 x$ .

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

Step 4.3

Move $3 x^{2}$ .

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

Step 4.4

Reorder $5 x^{4}$ and $7 x^{5}$ .

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