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Factorize the expression 3x2y - 3x.

April 23, 2026Mathematics

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Answer

3x(xy - 1)

Step-by-step solution

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The problem asks to factorize the expression $3x^2y - 3x$ .

Identify the common factors in both terms.
The terms are $3x^2y$ and $-3x$ .
The common numerical factor is 3.
The common variable factor is $x$ .
So, the greatest common factor (GCF) is $3x$ .
Factor out the GCF from the expression.
$3x^2y - 3x = 3x(xy) - 3x(1)$ $3x^2y - 3x = 3x(xy - 1)$
The factored expression is:
$3x(xy - 1)$

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