Algebra Examples

$8 a b^{2} - 5 b^{2} - 10 c^{2} + 16 a c^{2}$

Step 1

Factor out the greatest common factor from each group.

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Step 1.1

Group the first two terms and the last two terms.

$(8 a b^{2} - 5 b^{2}) - 10 c^{2} + 16 a c^{2}$

Step 1.2

Factor out the greatest common factor (GCF) from each group.

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $8 a - 5$ .

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