Pre-Algebra Examples

$(15 x - 121 x^{12} + x^{9} - x^{7} + 3 x^{2}) + (x^{7} - 68 x^{2} - x^{9})$

Step 1

Remove parentheses.

$15 x - 121 x^{12} + x^{9} - x^{7} + 3 x^{2} + x^{7} - 68 x^{2} - x^{9}$

Step 2

Combine the opposite terms in $15 x - 121 x^{12} + x^{9} - x^{7} + 3 x^{2} + x^{7} - 68 x^{2} - x^{9}$ .

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Step 2.1

Add $- x^{7}$ and $x^{7}$ .

$15 x - 121 x^{12} + x^{9} + 3 x^{2} + 0 - 68 x^{2} - x^{9}$

Step 2.2

Add $15 x - 121 x^{12} + x^{9} + 3 x^{2}$ and $0$ .

$15 x - 121 x^{12} + x^{9} + 3 x^{2} - 68 x^{2} - x^{9}$

Step 2.3

Subtract $x^{9}$ from $x^{9}$ .

$15 x - 121 x^{12} + 3 x^{2} - 68 x^{2} + 0$

Step 2.4

Add $15 x - 121 x^{12} + 3 x^{2} - 68 x^{2}$ and $0$ .

$15 x - 121 x^{12} + 3 x^{2} - 68 x^{2}$

Step 3

Subtract $68 x^{2}$ from $3 x^{2}$ .

$15 x - 121 x^{12} - 65 x^{2}$