Question

Factorise :y7-64y ppppppppppllllllleeeeeeaaaasssseeeee

Answer 1

y^7 - 64y

=> y ( y^6 - 64)

=> y [ (y^3)^2 - (8)^2]

=> y [ ( y^3 + 8) (y^3 - 8)]

=> y [ { (y)^3 + (2)^3 } { ( y)^3 - (2)^3}]

=> y [ {( y +2) (y^2 + 4 - 2y)} {(y - 2)(y^2 + 4 + 2y)}]

=> ( y) (y +2) (y - 2)(y^2 - 2y+ 4)(y^2 +2y +4)