(x-2y)(y-3x)+(x+y)(x-3y)-(y-3x)(4x-5y)
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Answer:
2x(5x-7y)
Step-by-step explanation:
(x - 2y)(y-3x ) + ( x+y)(x-3y) - (y-3x)(4x-5y)
= ( xy- 3x²- 2y² + 6xy ) + ( x² - 3xy + xy - 3y² ) - ( 4xy - 5y² -12x² + 15xy)
= ( - 3x² + 7xy - 2y² ) + ( x² - 2xy - 3y² ) - ( -5y² - 12x² + 19xy )
= -3x² + 7xy - 2y² + x² - 2xy -3y² + 5y² + 12x² - 19xy
= 10x² - 14xy
= 2x(5x-7y)
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