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POLYNOMIALS - Coggle Diagram

- - - - A(x).B(x)+A(x).C(x)=A(x).[ B(x)+C(x) ]
  - - - I) ax+ay+bx+by=a(x+y)+b(x+y)=(a+b).(x+y)
        
        II) ax+ay+bx+by=(a+b)x+(a+b)y=(a+b).(x+y)
  - - - The expression in the form of (x+y)² or (x-y)² are called perfect square.
        
        (x+y)²=(x+y).(x+y)=x² +xy+yx+y² =x² +2xy+y²
        (x-y)² =(x-y).(x-y)=x² -xy-yx+y² =x² -2xy+y²
    - - The difference of two square is the form of x² -y² .
        
        x² -y² =(x-y).(x+y)
    - - (x+y)³= (x+y).(x+y).(x+y)=x³+3x²y+3xy²+y³. Then we get also;
        x³+y³=(x+y)³-3x²y-3xy²=(x+y)³-3xy(x+y)
        (x-y)³=(x-y).(x-y).(x-y)=x³-3x²y+3xy²-y³.Then, we get also;
        x³-y³= (x-y)³+3x²y-3xy²=(x-y)³+3xy(x-y)
    - - x³+y³=(x+y).(x²-xy+y²)
        
        x³-y³=(x-y).(x²+xy+y²)