1.

Simplify:(i) x(x+4) + 3x (2x2 -1) + 4x2 + 4(ii) a(b-c) – b(c-a) – c(a-b)(iii) a(b-c) +b(c-a) + c(a-b)

Answer»

(i) x(x+4) + 3x(2x2 -1) + 4x2 + 4

= x2 + 4x + 6x3 – 3x + 4x2 + 4

= 6x3 + 5x2 + x + 4

(ii) a(b-c) – b(c-a) – c(a-b)

= ab – ac – bc + ab – ca + bc

= 2ab – 2ac

(iii) a(b-c) +b(c-a) + c(a-b)

= ab – ac + bc – ab + ac – bc

= 0



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