Algebraic Identities For class 1 to 12

                  Algebraic Identities For class 1 to 12

• (a+b)²=a²+b²+2ab

• (a-b)²=a²+b² -2ab

• (a+b) (a-b)=a²-b²

• a²-b²= (a+b) (a-b)

• (x+a) (x+b)= x²+(a+b)x +ab

• (x+a) (x-b)=x²+(a-b)x –ab

• (x-a) (x-b)=x²-(a+b)x +ab

• a³+b³=(a+b)(a²-ab+b²)

• a³-b³=(a-b)(a²+ab+b²⁾

• (x-y+z)²=x²+y²+z²-2xy-2zy+2zx

• (x+y-z)²=x²+y²+z²+2xy-2zy-2zx

• (x-y-z)²= x²+y²+z²-2xy+2zy-2zx

• (x+y)³= x³+3x²y+3xy²+y³

• (x+y)³= x³+3xy(x+y)+y³

• (x-y) ³= x³-3x²y+3xy²-y³

• (x-y) ³= x³-3xy(x-y) –y³

• a³+b³+c³-3abc=(a+b+c)(a²+b²+c² -ac –ab  -bc)

• If a+b+c = 0 Then (a³+b³+c³)= 3abc

• (x+y+z)²=x²+y²+z²+2xy+2zy+2zx