Wykonaj działania:
a) (m+n)(m-2)+(m-n)(m+1)
b) (3x-2)(3x-2y+10-4x(2x-3y+1)
c) 3(m+1)(n-2)+2(n+1)(m-2)
d) x(x+1)(x+2)-x(x-1)(x-2)
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a)
(m+n)(m-2)+(m-n)(m+1)=m²-2m+mn-2n+m²+m-mn-n=2m²-m-3n
b)
ma być tak z tymi nawiasami :
(3x-2)(3x-2y)+10-4x(2x-3y+1)=9x²-6xy-6x+4y+10-8x²+12xy-4x=
=x²-6xy+2x+4y+10
c)
3(m+1)(n-2)+2(n+1)(m-2)=3*(mn-2m+n-2)+2*(mn-2n+m-2)=
=3mn-6m+3n-6+2mn-4n+2m-4=5mn-4m-n-10
d)
x(x+1)(x+2)-x(x-1)(x-2)=x(x²+2x+x+2)-x(²x-2x-x+2)=
=x³+2x²+x²+2x-x³+2x²+x²-2x=6x²