This post deals with popular *algebra formula* or *equation, *idle for students who want to learn basic of Algebra. Algebraic Formulas useful for CBSE, ICSE, Bihar Board, UP Board, West Bengal Board or any other State board.

- (x – y)
^{2}= x^{2}– 2xy + y^{2} - (x+y)
^{2}= x^{2}+ 2xy + y^{2} - x
^{2}+ y^{2}= (x+ y)^{2}– 2xy - x
^{2}– y^{2}= (x – y)(x + y) - (x + y + z)
^{2}= x^{2}+ y^{2}+ z^{2}+ 2xy + 2yz + 2zx - (x – y – z)
^{2}= x^{2}+ y^{2}+ z^{2}– 2xy + 2yz – 2zx - (x + y)
^{3}= x^{3}+ 3x^{2}y + 3xy^{2}+ y^{3} - (x + y)
^{3}= x^{3}+ y^{3}+ 3xy(x+ y) - (x – y)
^{3}= x^{3}– 3x^{2}y + 3xy^{2}– y^{3} - x
^{3}– y^{3}= (x – y)(x^{2}+ xy + y^{2}) - x
^{3}+ y^{3}= (x + y)(x^{2}– xy + y^{2}) - x
^{n}−y^{n}=(x−y)(x^{n−1}+x^{n−2}y+x^{n−3}y^{2}+…+y^{n−1}) where n is natural number