Question

75×75+2×75×25+25×25 equal to
A. 10000
B. 6250
C. 7500
D. 3750

Answer 1

Given : 75 × 75 + 2 × 75 × 25 + 25 × 25  

We know that (a + b)²  = a² + b² + 2ab

Now we can write the given expression as :  

75² + 2 × 75 × 25 + 25²

a² + 2ab + b²  =  (a + b)²  

Here a = 75 & b = 25  

Now ,

(a + b)²  = (75 + 25)²

(a + b)²  =  100²  

(a + b)²  =  10000

75 × 75 + 2 × 75 × 25 + 25 × 25 = 10000

Hence , 75 × 75 + 2 × 75 × 25 + 25 × 25 is 10000.

Among the given options option (A) 10000 is correct.

HOPE THIS ANSWER WILL HELP YOU…..

 

Some questions of this chapter :

Simplify each of the following:

(i) 175 × 175 + 2 × 175 × 25 + 25 ×25

(ii) 322 × 322 – 2 × 322 × 22 + 22 × 22

(iii) 0.76 ×0.76+2×0.76×0.24+0.24×0.24

(iv)7.83 x 7.83 - 1.17 x 1.17 /6.66

https://brainly.in/question/15897592

Evaluate each of the following using identities:

(i) (399)²(ii) (0.98)²

(iii) 991×1009

(iv) 117×83

brainly.in/question/15897585

Answer 2

$\bold{ \sf{ \red{Given }}}:-$

75 × 75 × 2 × 75 × 25 × 25 × 25

= 75² + 2(75) (25) + 25²

= (75 + 25)²

= 100² = 10000

Answer = A. 10000