Pre-Algebra Examples

$(4 a^{2} b - 3 a b^{2} + 2 a b + 5) + (2 a^{2} b + 3 a b^{2} - 7 a b)$

Step 1

Remove parentheses.

$4 a^{2} b - 3 a b^{2} + 2 a b + 5 + 2 a^{2} b + 3 a b^{2} - 7 a b$

Step 2

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

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Step 2.1

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

$4 a^{2} b + 2 a b + 5 + 2 a^{2} b + 0 - 7 a b$

Step 2.2

Add $4 a^{2} b + 2 a b + 5 + 2 a^{2} b$ and $0$ .

$4 a^{2} b + 2 a b + 5 + 2 a^{2} b - 7 a b$

Step 3

Add $4 a^{2} b$ and $2 a^{2} b$ .

$6 a^{2} b + 2 a b + 5 - 7 a b$

Step 4

Subtract $7 a b$ from $2 a b$ .

$6 a^{2} b - 5 a b + 5$