a)(3x-7)(2-x)=6x-3x^2-14+7x=13x-3x^2-14
b)(2x-y)(3y-x)=6xy-2x^2-3y^2+xy=7xy-2x^2-3y^2
C)3x(x-y)-(x+y)(3x-y)=3x^2-3xy-3x^2-3xy+xy+y^2=y^2-5xy
d)(5x-1)(x+2)+(x-1)(2-5x)=5x^2+10x-x-2+2x-2-5x^2+5x=16x-4
e)(3x-2)^2=9x^2-12x+4
2(x-3)(x+1)=2x^2+2x-6x-6=2x^2-4x-6
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Answers & Comments
a)(3x-7)(2-x)=6x-3x^2-14+7x=13x-3x^2-14
b)(2x-y)(3y-x)=6xy-2x^2-3y^2+xy=7xy-2x^2-3y^2
C)3x(x-y)-(x+y)(3x-y)=3x^2-3xy-3x^2-3xy+xy+y^2=y^2-5xy
d)(5x-1)(x+2)+(x-1)(2-5x)=5x^2+10x-x-2+2x-2-5x^2+5x=16x-4
e)(3x-2)^2=9x^2-12x+4
2(x-3)(x+1)=2x^2+2x-6x-6=2x^2-4x-6