Question

Wykonaj 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)

PILNE :)

Answer 1

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

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

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

 

gdzie ^ oznacza potęgę, np 5^2 czyli 5 do potęgi 2, czyli 25 :)

Answer 2

A)(m+n)(m-n)+(m-n)(m+1)=m^2-2m+mn-2n+m^2+m-mn-n=2m^2-m-3n

B)(3x-2)(3x-2y+1)-4x(2x-3y+1)=9x^2-6xy+3x-6x+4y-2-8x^2+12xy-4x=x^2-6xy-7x+5y-2

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

^-potęga