algebra

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algebra

by govind_raj_76 » Sun Jul 18, 2010 8:46 am
{a^2 (b-c) + b^2 (c-a) + c^2 (a-b) } / {abc} is the same as.

a. (a^2 + b^2 + c^2)(a+b+c)

b. (a + b)(b+c)(c+a)

c. (a-b)(c-a)

d. (a-b) / c + (b-c) / a + (c-a) / b

e. b/a + c/b + a/c

Please help to solve this problem.
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by aloneontheedge » Sun Jul 18, 2010 8:57 am
govind_raj_76 wrote:{a^2 (b-c) + b^2 (c-a) + c^2 (a-b) } / {abc} is the same as.

a. (a^2 + b^2 + c^2)(a+b+c)

b. (a + b)(b+c)(c+a)

c. (a-b)(c-a)

d. (a-b) / c + (b-c) / a + (c-a) / b

e. b/a + c/b + a/c

Please help to solve this problem.
D is the answer.
multiply the terms and take out common you get
ab(a-b)+bc(c-a)+ac(c-a)/abc
now split all ab(a-b)/abc = a-b/c

now split a^2(b-c)/abc =