If \(a=2\) and \(b=5\), what is the value of \(a^2b+ab^2\)?
Answer and explanation
Correct answer: 70
Factor the expression first: \(a^2b+ab^2=ab(a+b)\). Substituting \(a=2\) and \(b=5\) gives \(2\times5\times(2+5)=10\times7=70\). Therefore, the correct answer is 70. The distractor 60 can result from incorrectly evaluating one of the common factors or the sum. In an exam, look for the common factor \(ab\) to simplify such expressions quickly and accurately.
Frequently asked questions
What is the correct answer to this question?
70
Why is this the correct answer?
Factor the expression first: \(a^2b+ab^2=ab(a+b)\). Substituting \(a=2\) and \(b=5\) gives \(2\times5\times(2+5)=10\times7=70\). Therefore, the correct answer is 70. The distractor 60 can result from incorrectly evaluating one of the common factors or the sum. In an exam, look for the common factor \(ab\) to simplify such expressions quickly and accurately.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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