Algebra Examples

$(3 a^{2} - 5 a b + b^{2}) + (- 3 a^{2} + 2 b^{2} + 8 a b)$

Step 1

The polynomial cannot be factored using the grouping method. Try a different method, or if you aren't sure, choose Factor.

The polynomial cannot be factored using the grouping method.

Step 2

Remove parentheses.

$3 a^{2} - 5 a b + b^{2} + (- 3 a^{2} + 2 b^{2} + 8 a b)$

Step 3

Remove unnecessary parentheses.

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

Step 4

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

$- 5 a b + b^{2} + 0 + 2 b^{2} + 8 a b$

Step 5

Add $- 5 a b$ and $0$ .

$b^{2} - 5 a b + 2 b^{2} + 8 a b$

Step 6

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

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

Step 7

Add $- 5 a b$ and $8 a b$ .

$3 b^{2} + 3 a b$

Step 8

Factor $3 b$ out of $3 b^{2} + 3 a b$ .

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Step 8.1

Factor $3 b$ out of $3 b^{2}$ .

$3 b (b) + 3 a b$

Step 8.2

Factor $3 b$ out of $3 a b$ .

$3 b (b) + 3 b (a)$

Step 8.3

Factor $3 b$ out of $3 b (b) + 3 b (a)$ .

$3 b (b + a)$