Answer:
(d) x²y²(x² − 3xy)
Explanation:
You want to identify a rewrite of x⁴y² − 3x³y³ using a common factor among ...
- 3xy(x³y − x²y)
- 3xy²(x² − x²y)
- x²y(xy − 3xy²)
- x²y²(x² − 3xy)
Simplified
Here, we write the expanded form of the answer choices to see if any is a fit for the given expression.
- 3xy(x³y − x²y) = 3x⁴y² -3x³y²
- 3xy²(x² − x²y) = 3x³y² -3x³y³
- x²y(xy − 3xy²) = x³y² -3x³y³
- x²y²(x² − 3xy) = x⁴y² -3x³y³ . . . . . . . matches the given expression
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Additional comment
The relevant rule of exponents is ...
(a^b)(a^c) = a^(b+c)
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