Maths-
General
Easy

Question

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

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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