Question

Wyrażenia algebraiczne

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(m+1)(m-2)=

Answer 1

a) (m+n)(m-2)+(m-n)(m+1)= m²-2m+nm-2n+m²+m-nm-n=2m²-m-3n

b) (3x-2)(3x-2y+1)-4x(2x-3y+1)=9x²-6xy+3x-6x+4y-2-8x²-12xy+4x=x²-18xy+x+4y-2

c) 3(m+1)(n-2)+2(m+1)(m-2)=3(mn-2m+n-2)+2(m²-2m+m-2)= 3mn-6m=3n-6+2m²-4m+2m-4=3mn-8m+3n-10+2m²