Pre-Algebra Examples

$x^{5} - 4 x^{4} + 7 x^{3} + 8$ , $9 x^{3} + 7 x^{2} - 10$ ; and $- 2 x^{5} + 7 x^{4} - 3 x + 8$

Step 1

Add the expressions.

$x^{5} - 4 x^{4} + 7 x^{3} + 8 + 9 x^{3} + 7 x^{2} - 10 - 2 x^{5} + 7 x^{4} - 3 x + 8$

Step 2

Subtract $2 x^{5}$ from $x^{5}$ .

$- x^{5} - 4 x^{4} + 7 x^{3} + 8 + 9 x^{3} + 7 x^{2} - 10 + 7 x^{4} - 3 x + 8$

Step 3

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

$- x^{5} + 3 x^{4} + 7 x^{3} + 8 + 9 x^{3} + 7 x^{2} - 10 - 3 x + 8$

Step 4

Add $7 x^{3}$ and $9 x^{3}$ .

$- x^{5} + 3 x^{4} + 16 x^{3} + 8 + 7 x^{2} - 10 - 3 x + 8$

Step 5

Simplify by adding and subtracting.

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Step 5.1

Subtract $10$ from $8$ .

$- x^{5} + 3 x^{4} + 16 x^{3} + 7 x^{2} - 2 - 3 x + 8$

Step 5.2

Add $- 2$ and $8$ .

$- x^{5} + 3 x^{4} + 16 x^{3} + 7 x^{2} - 3 x + 6$