Which is an equivalent expression for the given expression?
−15x²y − 21x³
x²y(−36x)
−3x²(5y − 7x)
−3x²(5y + 7x)
3xy(−5x + 7x²)
Question & Answer
Which is an equivalent expression for the given expression?
1 Answer
Verified archiveTo find an equivalent expression for the expression (-15x²y – 21x³), we need to factor it.
1. Identify common factors: Both terms (-15x²y) and (-21x³) have a common factor. The greatest common factor (GCF) is (-3x²).
2. Factor out the GCF:
[
-15x²y – 21x³ = -3x²(5y + 7x)
]
Thus, the equivalent expression is (-3x²(5y + 7x)).
Correct answer: (-3x²(5y + 7x))
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