Question

2.85×2.85-1.41×1.41
______________
2.85+1.41

Answer 1

Answer:

1.44

Step-by-step explanation:

Given :

To find the value of $\frac{2.85*2.85 - 1.41*1.41}{2.85 - 1.41}$

Solution :

Remember, the identity,

a² - b² = ( a + b ) ( a - b )  ...(i)

Hence,

$\frac{2.85*2.85 - 1.41*1.41}{2.85 + 1.41}$

⇒ $\frac{(2.85)^2 - (1.41)^2}{2.85 + 1.41}$

⇒ $\frac{(2.85 - 1.41)(2.85 + 1.41)}{2.85 + 1.41}$  by identity (i)

⇒ $2.85 - 1.41 = 1.44$