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Maths-

General

Easy

Question

Use the difference of squares to find the product 56 × 44.

hint Hint:

The methods used to find the product of binomials are called special products.
Difference of squares is a case of a special product which occurs when we multiply a binomial by another binomial with the same terms but the opposite sign

The correct answer is: 2464.

56 can be written as (50 + 6) and 44 can be written as (50 - 6)
So, 56 × 44 can be written (50 + 6) × (50 - 6)
(50 + 6) × (50 - 6) = 50(50 - 6) + 6(50 - 6)
= 50(50) + 50(-6) + 6(50) + 6(-6)
= 2500 - 300 + 300 - 36
= 2500 - 36
= 2464
Final Answer:
Hence, the simplified form of 56 × 44 is 2464.

This question can be easily solved by using the formula
(a + b)(a - b) = a2 - b2

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