(x-4y)(2x+3y)+3(3x^2-7x^2y)-2(x+2y)^2=
(x-4y)(2x+3y)+3(3x²-7x²y)-2(x+2y)^2=
2x² + 3xy - 8xy - 12y² + 9x² - 21x²y - 2(x² + 4xy + 4y²) =
2x² + 3xy - 8xy - 12y² + 9x² - 21x²y - 2x² - 8xy - 8y² =
9x² - 20y² - 21x²y - 13xy
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(x-4y)(2x+3y)+3(3x²-7x²y)-2(x+2y)^2=
2x² + 3xy - 8xy - 12y² + 9x² - 21x²y - 2(x² + 4xy + 4y²) =
2x² + 3xy - 8xy - 12y² + 9x² - 21x²y - 2x² - 8xy - 8y² =
9x² - 20y² - 21x²y - 13xy