Advertisements
Advertisements
प्रश्न
If A = `(2x + 1)/(2x - 1)`, B = `(2x - 1)/(2x + 1)` find `1/("A" - "B") - (2"B")/("A"^2 - "B"^2)`
उत्तर
`1/("A" - "B") - (2"B")/("A"^2 - "B"^2) = 1/("A" - "B") - (2"B")/(("A" + "B")("A" - "B"))`
= `("A" + "B" - 2"B")/(("A" + "B")("A" - "B"))`
= `("A" - "B")/(("A" + "B")("A" - "B"))`
= `1/("A" + "B")`
= `1 ÷ (2x + 1)/(2x - 1) + (2x - 1)/(2x + 1)`
= `1 ÷ ((2x + 1)^2 + (2x - 1)^2)/((2x - 1)(2x + 1))`
= `1 ÷ (4x^2 + 1 + 4x + 4x^2 + 1 - 4x)/((2x - 1)(2x + 1))`
= `1 ÷ (8x^2 + 2)/((2x - 1)(2x + 1))`
= `1 ÷ (2(4x^2 + 1))/(4x^2 - 1)`
= `1 xx (4x^2 - 1)/(2(4x^2 + 1))`
APPEARS IN
संबंधित प्रश्न
Reduce the following rational expression to its lowest form
`("p"^2 - 3"p" - 40)/(2"p"^3 - 24"p"^2 + 64"p")`
Find the excluded values, of the following expression
`y/(y^2 - 25)`
Simplify `(4x)/(x^2 - 1) - (x + 1)/(x - 1)`
If A = `x/(x + 1)` B = `1/(x + 1)` prove that `(("A" + "B")^2 + ("A" - "B")^2)/("A" + "B") = (2(x^2 + 1))/(x(x + 1)^2`
Pari needs 4 hours to complete the work. His friend Yuvan needs 6 hours to complete the same work. How long will it take to complete if they work together?
`(3y - 3)/y ÷ (7y - 7)/(3y^2)` is
In a three-digit number, when the tens and the hundreds digit are interchanged the new number is 54 more than three times the original number. If 198 is added to the number, the digits are reversed. The tens digit exceeds the hundreds digit by twice as that of the tens digit exceeds the unit digit. Find the original number
Is it possible to design a rectangular park of perimeter 320 m and area 4800 m2? If so find its length and breadth.
At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less than `("t"^2)/4`. Find t.
The number of seats in a row is equal to the total number of rows in a hall. The total number of seats in the hall will increase by 375 if the number of rows is doubled and the number of seats in each row is reduced by 5. Find the number of rows in the hall at the beginning.
