Algebra Examples

$x^{4} + 3 x^{3} - 2 x^{3} - 5 x^{2} - x + x^{2} + x + 1 + 7 x^{4}$

Step 1

Combine the opposite terms in $x^{4} + 3 x^{3} - 2 x^{3} - 5 x^{2} - x + x^{2} + x + 1 + 7 x^{4}$ .

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Step 1.1

Add $- x$ and $x$ .

$x^{4} + 3 x^{3} - 2 x^{3} - 5 x^{2} + x^{2} + 0 + 1 + 7 x^{4}$

Step 1.2

Add $x^{4} + 3 x^{3} - 2 x^{3} - 5 x^{2} + x^{2}$ and $0$ .

$x^{4} + 3 x^{3} - 2 x^{3} - 5 x^{2} + x^{2} + 1 + 7 x^{4}$

Step 2

Add $x^{4}$ and $7 x^{4}$ .

$8 x^{4} + 3 x^{3} - 2 x^{3} - 5 x^{2} + x^{2} + 1$

Step 3

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

$8 x^{4} + x^{3} - 5 x^{2} + x^{2} + 1$

Step 4

Add $- 5 x^{2}$ and $x^{2}$ .

$8 x^{4} + x^{3} - 4 x^{2} + 1$