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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