If 2s = a + b + c, then what is s(s-a)(s-b)(s-c) [ (1 / s-a) + (1 / s-b) + (1 / s-c) - (1 / s)] equal to?
abc
By simplifying the given expression using algebraic methods, it can be shown that the result is equal to abc. Hence, the correct answer is (a) abc.
Similar Questions
Let \(k\) be a positive integer. What is the quotient when \(x^{8k+3}+x^{8k+6}+x^{8k+9} + x^{8k+12}\) is divided by \((1+x^3)(1+x^6)\) ?
- If \((x + 1)(x + p)(x^2 + p^2) = x^4 - 1\), then what is the value of \(p\)?
- If \((2+\sqrt{3})^x + (2-\sqrt{3})^x = 2\), then what is \((2+\sqrt{3})^x-(2-\sqrt{3})^x\) equal to?
What is
\(\frac{(a+b)^2}{(c-a)(c+a+b)} + \frac{(a+b)c}{c^2 + bc-a^2 - ab}\) - \(\frac{(a+2b + c)}{2(c-a)}\), \(a \neq b\), \(b \neq c\), \(c \neq a\)
equal to?
Which of the following is/are the factor(s) of \((3x + y)^2 + (3x+y)(x+5y)-20(x+5y)^2\)?
I. \((4x+13y)\)
II. \((x + 19y)\)
Select the correct answer using the code given below.
What is
\(\frac{\frac{x}{x-y}+\frac{y}{y-z}+\frac{z}{z-x}} {\frac{x+y}{x-y}+\frac{y+z}{y-z}+\frac{z+x}{z-x}+3}\)equal to?
- What is the value of p ?
What is the minimum value of p for which 1/532900 + p²/266450 + p⁴/523900 is an integer?
- If $p = \sqrt[3]{a + \sqrt{a^2 + b^3}} + \sqrt[3]{a - \sqrt{a^2 + b^3}}$, then what is $p^3 + 3bp$ equal to ?
If \(x^3 + \frac{1}{x^3} = \frac{65}{8}\) and \(y^3 + \frac{1}{y^3} = \frac{730}{27}\), then which one of the following is a value of \(xy\)?
Important Questions from Algebra
In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.
I. x2 – 26x + 165 = 0
II. y2 – 38y + 357 = 0
Factorize the following:
(x 2- 6xy + 9y 2) - 25
If P and Q are the points on the line Joining A(-2, 5) and B(3, 1) such that
AP = PQ = QB, then the mid point of PQ is
If a number and its reciprocal added it becomes 6, then what will be sum of its square and square of its reciprocal?
If 3x + 2y = 15, and xy = 6. Find the value of (3x3/2) + (4y3/9).
