Math, asked by chahar4321, 1 year ago

Find the value of (2x+y)whole square + ( 2X-Y)whole square

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Answers

Answered by Sreyashpedia
3

Answer:

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Step-by-step explanation:

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Answered by madeducators1
0

Given:

We have given the equation

To Find:

Simplify the equation?

Step-by-step explanation:

  • We have given the equation which is written below.

       (2x+y)^2+(2x-y)^2

  • For simplifying the above equation we should know the formulas of the whole square of numbers. The whole square of numbers is calculated by the formulas.

       (a+b)^2=a^2+b^2+2ab\\(a-b)^2=a^2+b^2-2ab\\

  • Use these formulas in the equation which is given to us.

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

  • Now simplify the brackets of the above equation.

       4x^2+y^2+4xy+4x^2+y^2-4xy

  • Now take the like terms together and simplify them

       4x^2+4x^2+y^2+y^2+4xy-4xy\\8x^2+2y^2

Hence, the simplified form of given equation is 8x^2+2y^2

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