**(2x + 3y + 4z) (4x**^{2} + 9y^{2} + 16z^{2} – 6xy – 12yz – 8zx).

^{2}+ 9y

^{2}+ 16z

^{2}– 6xy – 12yz – 8zx).

**Answer :**

(2x + 3y + 4z) (4x^{2} + 9y^{2} + 16z^{2} – 6xy – 12yz – 8zx)

It can be written as

= (2x + 3y + 4z) ((2x)^{2} + (3y)^{2} + (4z)^{2} – 2x × 3y – 3y × 4z – 4z × 2x)

By further calculation

= (2x)^{3} + (3y)^{3} + (4z)^{3} – 3 × 2x × 3y × 4z

So we get

= 8x^{3} + 27y^{3} + 64z^{3} – 72xyz

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