For all n, (3n+5)2 = ?
Correct answer: C. 9n2+30n+25
- A. 6n2+15n+ 10
- B. 6n2+30n+25
- C. 9n2+30n+25
- D. 9n2+6n+ 10
Explanation
Expand the expression using (a+b)² =a2+2ab+b²: (3n)²+2x3n×5+52 Simplify using exponent rule with same exponent (ab)" =ar.b": 32 xn²+2x3n×5+ 52 Calculate the power: 9n²+2x3n×5+25 Multiply the monomials: 9n2+30n+25 get the result: 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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