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Obtain the product of (i) xy, yz, zx ...

Obtain the product of (i) `xy, yz, zx` (ii) `a,-a^2, a^3` (iii) `2, 4y, 8y^2, 16y^3` (iv) `a, 2b, 3c,6abc` (v) `m,-mn, mnp`

Text Solution

Verified by Experts

The correct Answer is:
(i) `xyxxyzxxzx = (x xx x)xx(yxxy)xx(zxxz) = x^2y^2z^2`

(ii)`axx(-a^2)xxa^3 = -a^3xxa^3 = -a^6`

(iii)`2xx4yxx8y^2xx16y^3 = 8yxx8y^2xx16y^3`
`=64y^3xx16y^3 = 1024y^6`

(iv)`axx2bxx3cxx6abc = 6abcxx6abc = 36a^2b^2c^2`

(v)`mxx(-mn)xx(mnp) = -m^3xxn^2xxp = -m^3n^2p^2``
(i) `xyxxyzxxzx = (x xx x)xx(yxxy)xx(zxxz) = x^2y^2z^2`

(ii)`axx(-a^2)xxa^3 = -a^3xxa^3 = -a^6`

(iii)`2xx4yxx8y^2xx16y^3 = 8yxx8y^2xx16y^3`
`=64y^3xx16y^3 = 1024y^6`

(iv)`axx2bxx3cxx6abc = 6abcxx6abc = 36a^2b^2c^2`

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