Math, asked by kayalsweety, 1 year ago

find the value of ( 438×438-437×437)

Answers

Answered by Anonymous
21
 \bold{ \huge{ \underline{ANSWER}}}

 \bold{ \underline{Define the Equation}}

(438×438-437×437)

Above Equation in the form of Algebraic Expression Formula (a²-b²)

 \bold{ \fbox{ \underline{Define the Equation as per as Formula}}}

Here, 2 times (438) and also 2 times (437).

 \bold{ \fbox{ \underline{Solving the Equation by Formula}}}

(438×438-437×437)

(438²-437²)

(438+437)(438-437)

(875)(1)

875

 \bold{ \huge{ \underline{EXTRA;}}}

Extra:-

Using by Simply Method;

(438×438-437×437)

(191,844-190,969)

(875)

Thanks!!!
Answered by Ashishkumar098
13
<b > Ello!!

Here's your answer

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To find the value of : ( 438 × 438 - 437 × 437 )

Now ,

• ( 438 × 438 - 437 × 437 )

= ( 438 )² - ( 437 )²

[ • Here , like a² = ( a × a ) we can write ,

• 438² = 438 × 438 ---- ( i )

• 437² = 437 × 437 ---- ( ii ) ]

= ( 438 + 437 ) ( 438 - 437 )

[ • ( a² - b² ) = ( a + b ) ( a - b ) → Using this identity
Here , a = 438 , b = 437 ]

= 875 × 1

= 875 [ ★ Required answer ]

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Now , verifying the answer

In simplicity way ,

( 438 × 438 - 437 × 437 )

= 191844 - 190969

= 875 [ ★ Proved ]

So , The value of the following is 875

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Hope it helps!!
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