Advertisements
Advertisements
प्रश्न
If A = `(2x + 1)/(2x - 1)`, B = `(2x - 1)/(2x + 1)` find `1/("A" - "B") - (2"B")/("A"^2 - "B"^2)`
Advertisements
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
Find the excluded values, of the following expression
`(x^3 - 27)/(x^3 + x^2 - 6x)`
Simplify `(x + 4)/(3x + 4y) xx (9x^2 - 16y^2)/(2x^2 + 3x - 20)`
Simplify `(2"a"^2 + 5"a" + 3)/(2"a"^2 + 7"a" + 6) ÷ ("a"^2 + 6"a" + 5)/(-5"a"^2 - 35"a" - 50)`
If x = `("a"^2 + 3"a" - 4)/(3"a"^2 - 3)` and y = `("a"^2 + 2"a" - 8)/(2"a"^2 - 2"a" - 4)` find the value of x2y–2
Simplify `(x(x + 1))/(x - 2) + (x(1 - x))/(x - 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?
Solve `1/3` (x + y – 5) = y – z = 2x – 11 = 9 – (x + 2z)
Simplify `(1/("p") + 1/("q" + "r"))/(1/"p" - 1/("q" + "r")) xx [1 + ("q"^2 + "r"^2 - "p"^2)/(2"qr")]`
At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less than `("t"^2)/4`. Find t.
Two farmers Thilagan and Kausigan cultivates three varieties of grains namely rice, wheat and ragi. If the sale (in ₹) of three varieties of grains by both the farmers in the month of April is given by the matrix.
`{:("April sale in" ₹)/("rice" "wheat" "ragi"):}`
A = `[(500, 1000, 1500),(2500, 1500, 500)]"Thilagan"/"Kausigan"`
and the May month sale (in ₹) is exactly twice as that of the April month sale for each variety.
What is the average sales for the months of April and May
