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.

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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