The expression (6n - 5)(n+4) is equivalent to:
Correct answer: D. 6n2+ 19n - 20
- A. 6n2-20
- B. 6n2-19n - 20
- C. 6n2 - 29n - 20
- D. 6n2+ 19n - 20
Explanation
Apply Multiplicative Distribution Law: 6n(n+4)-5(n+4) Apply Multiplicative Distribution Law: 6nxn+6n×4-5n-5×4 Multiply the monomials: 6n²+24n-5n-5×4 Calculate the product or quotient: 6n2+24n-5n-20 Reorder and gather like terms: 6n2+(24n-5n)-20 Collect coefficients for the like terms: 6n2+(24-5)×n-20 Calculate the sum or difference: 6n2+19n-20 Check equivalency: True Answer: True
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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