Aptitude - Surds and Indices - Discussion

Discussion Forum : Surds and Indices - General Questions (Q.No. 14)
14.
xb (b + c - a) . xc (c + a - b) . xa (a + b - c) = ?
xc xa xb
xabc
1
xab + bc + ca
xa + b + c
Answer: Option
Explanation:
Given Exp.
= x(b - c)(b + c - a) . x(c - a)(c + a - b) . x(a - b)(a + b - c)
= x(b - c)(b + c) - a(b - c)  .  x(c - a)(c + a) - b(c - a)
   .  x(a - b)(a + b) - c(a - b)
= x(b2 - c2 + c2 - a2 + a2 - b2)  .   x-a(b - c) - b(c - a) - c(a - b)
= (x0 x x0)
= (1 x 1) = 1.
Discussion:
22 comments Page 1 of 3.

Md. Zihadur Rahman said:   4 years ago
How can it be possible that (b - c) (b + c) - a (b-c) = (b-c) (b+c-a)?

Can you explain it, please?
(2)

Mansi said:   1 decade ago
In the second step:

From the first term: x^(b-c)(b+c-a).

There are two brackets term, from the second bracket -a is taken out. As it comes out, it has to be multiplied by the first bracket.

So it gets multiplied and we get x^(b-c)(b+c)-a(b-c).

Similar thing is done for the rest.
(1)

Raj said:   4 years ago
I can't get 3rd step, can anyone, explain to me? please.
(1)

Jegan said:   8 years ago
Next step they are taking (a+b)(b-C) = A*2-B*2 & adding in common X.
(1)

Anand kumar said:   8 years ago
I should not understand this.

Someone's can explain this properly?

Kowsalya said:   5 months ago
@All.

(b - c) (b + c) - a (b - c) I don't understand this step. How are you multiplying (b-c) separately with a? Anyone explain it to me.

Ajay said:   1 year ago
Very useful question and thanks for all the given explanation.

Gautam said:   4 years ago
Here, (.) Means multiply right?

Jeevan Kumar said:   5 years ago
@All.

x(b2+bc-ab-cb-c2+ac) by following like this you will get finally x(0) = 1.

Amulya said:   5 years ago
Thanks all for explaining.


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