What is \frac{(a+b)^2}{(c-a)(c+a+b)} + \frac{(a+b)c}{c^2+bc-a^2-ab} - \frac{a+2b+c}{2(c-a)} equal to?
- A. -1/2 ✓
- B. 0
- C. 1/2
- D. 1
Correct Answer: A. -1/2
Explanation
Substituting arbitrary values like a=1, b=2, c=3 into the given expression yields \frac{9}{2\times6} + \frac{9}{9+6-1-2} - \frac{8}{2\times2} = \frac{3}{4} + \frac{3}{4} - 2 = -\frac{1}{2}.
Related questions on Algebra
- If p + q + r = 0, then what is z^{\frac{p^2}{qr}} \times z^{\frac{q^2}{rp}} \times z^{\frac{r^2}{pq}} equal to ?
- What is the value of k for which (k^2 - 5k + 4)x^2 + (k^2 - 3k - 4)x + (k^2 - 4k) = 0 is an identity ?
- If \frac{a^2}{b^2 + c^2} = \frac{b^2}{c^2 + a^2} = \frac{c^2}{a^2 + b^2}, then what is the value of a^4 + b^4 + c^4 equal to ?
- If \frac{1}{x} = \frac{1}{p} + \frac{1}{q}, then what is \frac{pq}{p^2 - q^2}\left(\frac{x + p}{x - p} - \frac{x + q}{x - q}\right) equa...
- If (x - 5) is the HCF of x^2 - x - p and x^2 - qx - 10, then what is the value of (p + q) ?