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If , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

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2 Answers

5 votes

question ;

if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

answer with explanation ;

  • by substituting the value of a and b

  • 2a + b

  • = 2 ( x + 2y ) + ( x - 2y )
  • = 2x + 4y + 1x - 2y
  • = 2x + 1x + 4y - 2y
  • = 3x + 2y

  • a - 2b

  • = ( x + 2y ) - 2 ( x - 2y )
  • = x + 2y - 2x + 4y
  • = -1 + 6y

i hope my answer helps !!

User GoldBishop
by
4.5k points
5 votes

Answer:

  • 4x - 4y

Explanation:

Simplify the expression:

  • ( 2a + b ) - ( a - 2b ) =
  • 2a + b - a + 2b =
  • a + 3b

Substitute values:

  • a + 3b =
  • x + 2y + 3(x - 2y) =
  • x + 2y + 3x - 6y =
  • 4x - 4y
User Melps
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4.3k points