Question

$({24 + 25 + 26})^{2} - ({10 + 20 + 25})^{2} =$
a) 352
b) 400
c) 752
d) 2600
e) None of these​

Answer 1

Answer :

(d) 2600

Given :

• (24 + 25 + 26)² - (10 + 20 + 25)²

To find :

• the value of (24 + 25 + 26)² - (10 + 20 + 25)²

Solution :

⇒ Let's find the value.

= (24 + 25 + 26)² - (10 + 20 + 25)²

= (49 + 26)² - (10 + 20 + 25)²

= (75)² - (10 + 20 + 25)²

= (5625) - (10 + 20 + 25)²

= (5625) - (30 + 25)²

= (5625) - (55)²

= (5625) - (3025)

= 5625 - 3025

= 2600

• Therefore, the value of  (24 + 25 + 26)² - (10 + 20 + 25)² is 2600.