Math, asked by narendralingala, 3 months ago

(x+y)^2-(x-y)^2 please solve​

Answers

Answered by Anonymous
12

Answer:

Question:-

\mathtt{  = {(x + y)}^{2} -  {(x - y)}^{2}  }

Formula used:-

We solve this question with the below formula:-

\mathtt{  {(x + y)}^{2} =  {x}^{2}  + 2xy +  {y}^{2}  }

\mathtt{ {(x - y)}^{2}  =  {x}^{2} - 2xy +  {y}^{2}  }

Solution:-

\mathtt{  = {(x + y)}^{2} -  {(x - y)}^{2}  }

\mathtt{ =  {x}^{2}  + 2xy +  {y}^{2} - ( {x}^{2}  - 2xy +  {y}^{2})   }

\mathtt{  = {x}^{2} + 2xy +  {y}^{2} -  {x}^{2}  + 2xy -  {y}^{2}   }

\mathtt{ = 2xy + 2xy}

\mathtt{ = 4xy}

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess

Answered by Anonymous
85

Question:-

(x + y) { }^{2}  -  {(x - y)}^{2}

Step-by-step explanation:

ᴛʜɪs ɪs ɪɴ ғʀᴏᴍ ᴏғ.

a²- b² = (a + b) (a- b)

ᴛʜᴜs ,

( x + y ) ²- (x-y) ²

= ( x + y + x - y ) ( x+y - x + y )

= 2x X 2y

= 4xy

answer

( x + y ) ²- (x - y) ² = 4xy

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