Question

using foil method (2x+y)(x-2y)​

Answer 1

2x2-4xy+xy-2y2 is the answer

Answer 2

Given  : (2x+y)(x-2y)​

To find : Simplify using foil method

Solution:

The FOIL method is a technique used to help remember the steps required to multiply two binomials.

(a + b)(c + d)

first  = ac

outer = ad

inner = bc

last  =  bd

(2x+y)(x-2y)​

first  = (2x)(x)  = 2x²

outer = (2x)(-2y)  = - 4xy

inner =  yx   = xy

last  =   y(-2y)  = - 2y²

2x²   - 4xy +  xy  - 2y²

= 2x²   - 3xy   - 2y²

(2x+y)(x-2y)​ = 2x²   - 3xy   - 2y²

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