Pre-Algebra Examples

$2 p r - 4 (p s) + q r - 2 q s$

Step 1

Remove parentheses.

$2 p r - 4 p s + q r - 2 q s$

Step 2

Factor out the greatest common factor from each group.

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Step 2.1

Group the first two terms and the last two terms.

$(2 p r - 4 p s) + q r - 2 q s$

Step 2.2

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

$2 p (r - 2 s) + q (r - 2 s)$

Step 3

Factor the polynomial by factoring out the greatest common factor, $r - 2 s$ .

$(r - 2 s) (2 p + q)$