Odpowiedź:
a) 8xy-(2x-3)(4y-5) = 8xy -(8xy-10x-12y+15) = 8xy-8xy+10x+12y-15 = 10x+12y-15b) (2x-3y)(5+x) + 15(y-x) = 10x+2x^2-15y-3xy+15y-15x = 2x^2 - 3xy-5x
c) (5x-y)(2y-x) - 11xy = 10xy-5x^2-2y^2+xy-11xy = -5x^2 -2y^2
d) 2(x+y) - (1-2x)(1+2y) = 2x+2y -(1+2y+1-2x) = 2x+2y-1-2y-1+2x = 4x-2
e) (4a-1)(2b+2)+2b(1-2a) = 8ab+8a+8ab-2b+2b-4ab=12ab+8a
f) (2a+b)(a-1)-(b-1)(a+2) = 2a^2-2a+ab-b-(ab+2b-a-2)=2a^2-2a+ab-b-ab-2b+a+2 = 2a^2-a-3b+2
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Odpowiedź:
a) 8xy-(2x-3)(4y-5) = 8xy -(8xy-10x-12y+15) = 8xy-8xy+10x+12y-15 = 10x+12y-15
b) (2x-3y)(5+x) + 15(y-x) = 10x+2x^2-15y-3xy+15y-15x = 2x^2 - 3xy-5x
c) (5x-y)(2y-x) - 11xy = 10xy-5x^2-2y^2+xy-11xy = -5x^2 -2y^2
d) 2(x+y) - (1-2x)(1+2y) = 2x+2y -(1+2y+1-2x) = 2x+2y-1-2y-1+2x = 4x-2
e) (4a-1)(2b+2)+2b(1-2a) = 8ab+8a+8ab-2b+2b-4ab=12ab+8a
f) (2a+b)(a-1)-(b-1)(a+2) = 2a^2-2a+ab-b-(ab+2b-a-2)=
2a^2-2a+ab-b-ab-2b+a+2 = 2a^2-a-3b+2