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Find the following products: (i) 4/(27)...

Find the following products: (i) `4/(27)x y z\ (9/2x^2y z-3/4x y z^2)` (ii) `1. 5 x(10 x^2y-100 x y^2)` (iii)`4. 1 x y\ (1. 1 x-y)`

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(i) `4/(27)x y z\ (9/2x^2y z-3/4x y z^2)`
`= ((-4/27)xyz × (9/2)x^2yz) – ((-4/27)xyz × (-3/4)xyz^2)`
`= ((-4×9)/ (27×2))x^3y^2z^2 + ((-4×-3)/(27×4))x^2y^2z^3 … [∵ am ×an=am+n]`
`((-2×1)/(3×1))x^3y^2z^2 + ((-1×-1)/(9×1))x^2y^2z^3`
`= (-2/3)x^3y^2z^2 + (1/9)x^2y^2z^3`

(ii) `1. 5 x(10 x^2y-100 x y^2)`
`=15x^3y-150x^2y^2`

(iii)`4. 1 x y\ (1. 1 x-y)`
`=4.51x^2-4.1xy^2`
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