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Using an algebraic identity, find the value of 64 × 56.
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Answer and explanation
Correct answer: 3584
64 × 56 = (60 + 4)(60 − 4). Using the identity (a + b)(a − b) = a² − b², we get 60² − 4² = 3600 − 16 = 3584. Therefore, 3584 is correct. Exam tip: Use the difference-of-squares identity when two factors are equally spaced around the same middle number.
Frequently asked questions
What is the correct answer to this question?
3584
Why is this the correct answer?
64 × 56 = (60 + 4)(60 − 4). Using the identity (a + b)(a − b) = a² − b², we get 60² − 4² = 3600 − 16 = 3584. Therefore, 3584 is correct. Exam tip: Use the difference-of-squares identity when two factors are equally spaced around the same middle number.
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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