Question

simplify (2x+y)(3x-y)-(x-4y)(4x-3y)​

Answer 1

Answer:

2x^2 + 20xy - 13y^2

Step-by-step explanation:

( 2x+y ) ( 3x-y ) - ( x-4y ) ( 4x-3y )

= 6x^2 - 3xy - y^2 - ( 4x^2 - 3xy - 16xy + 12y^2 )

= 6x^2 - 3xy - y^2 - 4x^2 + 3xy + 16xy - 12y^2

= 2x^2 + xy - 13y^2 + 19xy

= 2x^2 + 20xy - 13y^2

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