Math, asked by tubaakhtar, 5 months ago

19. The value of 49² is:- *

(50)² - 2 (50) (1) + (1)²
(50)² + 2 (50) (1) + (1)²
(50)² - (1)²
(50)² + (1)²​


umeshgusai1234: aahi

Answers

Answered by krishnadutta354
1

Step-by-step explanation:

Hope that the attachment helps you in better understanding.

Attachments:
Answered by pulakmath007
2

The value of 49² is (50)² - 2 (50) (1) + (1)²

Given :

The expression 49²

To find :

The value of 49² is

  • (50)² - 2 (50) (1) + (1)²

  • (50)² + 2 (50) (1) + (1)²

  • (50)² - (1)²

  • (50)² + (1)²

Formula :

(a - b)² = a² - 2ab + b²

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is 49²

Step 2 of 2 :

Find the value of the expression

We use the formula

(a - b)² = a² - 2ab + b²

Thus we get

\displaystyle \sf{  {(49)}^{2}  }

\displaystyle \sf{ =   {(50 - 1)}^{2}  }

\displaystyle \sf{  =  {(50)}^{2}   - 2 \times 50 \times 1 +  {(1)}^{2} }

\displaystyle \sf{  =  {(50)}^{2}   - 2 ( 50 )( 1 )+  {(1)}^{2} }

Hence the correct option is (50)² - 2 (50) (1) + (1)²

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