factories the following algebraic expressions(a) ax+bx_ay_by give me the answer​

1 thought on “factories the following algebraic expressions(a) ax+bx_ay_by give me the answer​”

1. Step-by-step explanation:

   Given :–

   ax+bx_ay_by

   To find:–

   Factorise the given expression

   Solution:–

   Method –1:–

   Given expression is ax + bx -ay -by

   =>(ax+bx)-(ay+by)

   =>(a+b)x -(a+b)y

   =>(a+b)(x-y)

   ax + bx -ay -by = (a+b)(x-y)

   Method-2:–

   Given expression is ax + bx -ay -by

   =>(ax-ay)+(bx-by)

   =>a(x-y)+b(x-y)

   =>(x-y)(a+b)

   ax + bx -ay -by = (a+b)(x-y)

   Answer:–

   The factorization of the given expression is ax + bx -ay -by = (a+b)(x-y)

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