(3x-2y)^{2}+5x(4y-x) = (3x)^{2} - 2(3x)(2y) + (2y)^{2} + 5x(4y) - 5x^{2}= 9x^{2} - 12xy + 4y^{2} + 20xy - 5x^{2}= 4x^{2} + 8xy + 4y^{2}= (2x + 2y)^{2}
(3x-2y)^{2}+5x(4y-x) = (3x)^{2} - 2(3x)(2y) + (2y)^{2} + 5x(4y) - 5x^{2}
= 9x^{2} - 12xy + 4y^{2} + 20xy - 5x^{2}
= 4x^{2} + 8xy + 4y^{2}
= (2x + 2y)^{2}