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Factorise completely: 2cx + 4cy - 3dx - 6dy

September 9, 2026Mathematics

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Answer

(x+2y)(2c-3d)

4 steps

Group the terms of the expression.
Group the first two terms and the last two terms. Be careful with the signs when grouping.
$(2cx + 4cy) - (3dx + 6dy)$
Factor out the common factor from each group.
From the first group, $2cx + 4cy$ , the common factor is $2c$ .
$2c(x + 2y)$
From the second group, $3dx + 6dy$ , the common factor is $3d$ .
$3d(x + 2y)$
Rewrite the expression using the factored groups.
$2c(x + 2y) - 3d(x + 2y)$
Factor out the common binomial factor $(x + 2y)$ .
$(x + 2y)(2c - 3d)$

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