Algebra Examples

$5 a^{2} c - 3 a^{2} d + 5 b^{2} c - 3 b^{2} d$

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.

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

Step 1.2

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

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

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 c - 3 d$ .

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