Problem : `64m^3-343n^3`

Factorise each of the following:(i) 27 y^3+125 z^3 (ii) 64 m^3-343 n^3

Factorize: 64 a^3-b^3

The value of 64^(-1/3)\ (64^(1/3)-64^(2/3)), is (a) 1 (b) 1/3 (c) -3 (d) -2

Factorise : 64 - a^(3)b^(3)

Find the cube-roots of : (-64)/343

Find the surface area of a cube whose volume is 343 m^3 (ii) 216\ d m^3

If sin A + cos A = m and sin^3 A + cos^3A=n , then (1) m^3-3m + n = 0 (2) n^3-3n + 2m=0 (3) m^3-3m + 2n = 0 (4) m3 + 3m + 2n = 0

If the scale model of a cube sculpture is 0.5 cm per every 1 m of the real sculpture, what is the volume of the model, If the volume of the real sculpture is 64m^(3) ?

Prove by the method of mathematical induction that, 3^(2n+2) - 8n-9, AA n in N is divisible by 64.