Pre-Algebra Examples

$45 c w + 63 c z - 20 d w - 28 d z$

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.

$(45 c w + 63 c z) - 20 d w - 28 d z$

Step 1.2

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

$9 c (5 w + 7 z) - 4 d (5 w + 7 z)$

Step 2

Factor the polynomial by factoring out the greatest common factor, $5 w + 7 z$ .

$(5 w + 7 z) (9 c - 4 d)$