Maths-
General
Easy

Question

Use the product of sum and difference to find 32 × 28.

hintHint:

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: 896


    32 can be written as (30 + 2) and 28 can be written as (30 - 2)
    So, 32 × 28 can be written (30 + 2) ×  (30 - 2)
    (30 + 2) ×  (30 - 2)  = 30(30 - 2) + 2(30 - 2)

    =  30(30) + 30(-2) + 2(30) + 2(-2)

    = 900 - 60 + 60 - 4

    = 900 - 4

    = 896
    Final Answer:
    Hence, the simplified form of 32 × 28 is 896.
     

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

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