Pre-Algebra Examples

$- 8 a^{3} b + 3 a^{2} b^{2} - 5$ $2 + 5 a^{2} b^{2}$ $3 a^{3} b + 7 - 9 a^{2} b^{2}$

Step 1

Add the expressions.

$- 8 a^{3} b + 3 a^{2} b^{2} - 5 + 2 + 5 a^{2} b^{2} + 3 a^{3} b + 7 - 9 a^{2} b^{2}$

Step 2

Add $- 8 a^{3} b$ and $3 a^{3} b$ .

$- 5 a^{3} b + 3 a^{2} b^{2} - 5 + 2 + 5 a^{2} b^{2} + 7 - 9 a^{2} b^{2}$

Step 3

Add $3 a^{2} b^{2}$ and $5 a^{2} b^{2}$ .

$- 5 a^{3} b + 8 a^{2} b^{2} - 5 + 2 + 7 - 9 a^{2} b^{2}$

Step 4

Subtract $9 a^{2} b^{2}$ from $8 a^{2} b^{2}$ .

$- 5 a^{3} b - a^{2} b^{2} - 5 + 2 + 7$

Step 5

Simplify the expression.

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Step 5.1

Add $- 5$ and $2$ .

$- 5 a^{3} b - a^{2} b^{2} - 3 + 7$

Step 5.2

Add $- 3$ and $7$ .

$- 5 a^{3} b - a^{2} b^{2} + 4$

Step 5.3

Reorder $- 5 a^{3} b$ and $- a^{2} b^{2}$ .

$- a^{2} b^{2} - 5 a^{3} b + 4$