Question

using suitable identity find 51 square - 49 square​

Answer 1

Answer:

identity=a sq ×b sq= a sq+ b sq + 2ab

identity=a sq ×b sq= a sq+ b sq + 2ab

Step-by-step explanation:

51 square =51×51

=(50+1)×(50+1)

=(50×50)+(50×1)+(1×50)+(1×1)

=2500+50+50+1

=2601

49square =(50-1)×(50-1)

=(50×50)+(1×1)-(2×50×1)

=2500+1-100

=2401

2601-2401=200

hope it will help

Answer 2

51² - 49² = 200

Given :

The expression 51² - 49²

To find :

To simplify using identity

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

51² - 49²

Step 2 of 2 :

Find the value using suitable identity

We apply the identity a² - b² = ( a + b ) ( a - b )

Thus we get

$\sf {51}^{2} - {49}^{2}$

$\sf = (51 + 49) \times (51 - 49)$

$\sf = 100 \times 2$

$\sf =200$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155

2. to verify algebraic identity a2-b2=(a+b)(a-b)

https://brainly.in/question/10726280