Question

Calculate the following​

Answer 1

Step-by-step explanation:

I) 27x3 + y3 + z3 - 9xyz

by using ( X3 + y3 + z3 - 3xyz = (x+y+z) (X2 + y2 + z2 - xy - yz - zx) identify

= (3x)^3 + y3 + z3 - 3 (3x) (y) (z)

= (3x + y + z) ((3x)^2 + y2 + z2 - (3x) (y) - (y) (z) - (z) (3x))

= (3x + y + z) ( 9x2 + y2 + z2 - 3xy - yz - 3xz)

ii) 104 x 96

(100 + 4) x ( 100 - 4)

by using (a + b) (a - b) = a2 - b2 Identity

= 100^2 - 4^2

= 10000 - 16

= 9,984

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