Pre-Algebra Examples

$x^{4} - 3 x + 1$ , $4 x^{2} - 2 x + 8$ ; and $x^{3} - 9$

Step 1

Add the expressions.

$x^{4} - 3 x + 1 + 4 x^{2} - 2 x + 8 + x^{3} - 9$

Step 2

Subtract $2 x$ from $- 3 x$ .

$x^{4} - 5 x + 1 + 4 x^{2} + 8 + x^{3} - 9$

Step 3

Add $1$ and $8$ .

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

Step 4

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

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Step 4.1

Subtract $9$ from $9$ .

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

Step 4.2

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

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

Step 5

Reorder.

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Step 5.1

Move $- 5 x$ .

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

Step 5.2

Move $4 x^{2}$ .

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