Question

Zad. 1 Wykonja działania:

a) (m+n)(m-2)+(m-n)(m+1)=

b) (3x-2)(3x-2y+1)-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)=

Błagam :)))

Answer 1

a) m^2-2m+mn-2n+m^2+m-mn-n=2m^2-m-3n

b) 9x^2-6xy+3x-6x+4y-2-8x^2+12xy-4x=x^2+6xy-7x+4y-2

c) 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^2+2x+x+2)-x(x^2-2x-x+2)=x^3+3x^2+2x-x^3+3x^2-2x=6x^2

Answer 2

a) (m+n)(m-2)+(m-n)(m+1)=(m²-2m+mn-2n)+(m²+m-mn-n)=m²-2m+mn-2n+m²+m-mn-n=2m²-m-n

b) (3x-2)(3x-2y+1)-4x(2x-3y+1)=9x²-6xy+3x-6x+4y-2-8x²+12xy-4x=x²+6xy-7x+4y-2

c) 3(m+1)(n-2)+2(n+1(m-2)=(3m+3)(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)=(x²+x)(x+2)-x(x²-2x-x+2)=x³+2x²+x²+2x-x³+2x²+x²-2x=6x²