Question

Which of the following is the output of 57 x 57 +43 x 43 + 2 x 57 x 43 ?
A. 10000
B. 5700
C. 4300
D. 1000​

Answer 1

Answer:

10,000

Step-by-step explanation:

=57×57+43×43+2×57×43

=3,249+1,849+4,902

=10,000

Answer 2

57 x 57 +43 x 43 + 2 x 57 x 43 = 10000

Given:

57 x 57 +43 x 43 + 2 x 57 x 43

To find:

Find the output

Solution:

57 x 57 +43 x 43 + 2 x 57 x 43

Applying the rule of BODMAS, first we will solve multiplication

3249 + 1849 + 4902

Now, we will add the numbers

3249 + 1849 + 4902 = 10000

There is another method also to solve this

If we let 57 = a and 43 = b

Our question will be a*a + b*b + 2*a*b = a² + b² + 2ab

We have a formula for this which is (a+b)²

So, (a+b)² = (53 + 47)²

= 100²

= 10000

Hence, our answer is A.10000

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