1.

Expand each of the following, using suitable identities (i) (x + 2y+ 4z) ^(2) (ii) (2a - 3b) ^(3) (iii) (-2a + 5b - 3c) ^(2) (iv) ((a)/(4) - (b)/(2) + 1) ^(2) (v) ( p +1) ^(3) (vi)(x - (2)/(3) y) ^(3)

Answer»


Answer :(i) `x ^(2) + 4y ^(2) + 16 z ^(2) + 4xy + 16yz + 8xz`
(ii) `8a ^(2) - 36a ^(2) b + 54 ab ^(2) - 27b ^(3)`
(iii) `4a ^(2) + 25 b ^(2) + 9x^(2) - 20ab - 30 bc + 12 ac`
(iv) `(a^(2))/(16) + (b ^(2))/(4) +1 - (ab)/(4) -b + a/2`
(v) ` p ^(3) + 3P^(2) + 3p +1`
(vi)` x ^(3) -2x ^(2) y + 4/3 xy ^(2) - (8)/(27) y ^(3)`


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