Maths-

General

Easy

Question

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

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: 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.

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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