High School

Write in factored form by factoring out the GCF:

\[15x^3 + 45x^2y - 30x\]

Answer :

The factored form of the expression 15x³ + 45x²y - 30x, factoring out the GCF is 15x(x² + 3xy - 2).

What is the factored form of the given expression?

Given the expression in the question:

15x³ + 45x²y - 30x

To factor out the greatest common factor (GCF) from the expression 15x³ + 45x²y - 30x, first, we need to identify the common terms in each of the coefficients.

15x³ + 45x²y - 30x

The GCF for the coefficients is 15x because it's the largest number that evenly divides each coefficient.

Hence, factor out 15x from each term:

15x³ + 45x²y - 30x

15x(x² + 3xy - 2)

Therefore, the factored form is 15x(x² + 3xy - 2).

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