Question

Find the square of 42 using distributive property.

Answer 1

Answer:

First we have to split the given number into two numbers. Therefore, we can write the number 42 as

42=40+2

Now we will square both sides of the equation. Therefore, we get

⇒(42)2=(40+2)2

Now using the algebraic identity i.e. (a+b)2=a2+2ab+b2

, we get

⇒(42)2=(40)2+(2×40×2)+(2)2

Applying the exponent on the terms, we get

⇒(42)2=1600+160+4

Adding the terms, we get

⇒(42)2=1764

Hence, the square of number 42 without actual multiplication