Advertisements
Advertisements
प्रश्न
Simplify `(x + 2)/(x + 3) + (x - 1)/(x - 2)`
उत्तर
`(x + 2)/(x + 3) + (x - 1)/(x - 2) = ((x + 2)(x - 2) + (x - 1)(x + 3))/((x + 3)(x - 2))`
= `(x^2 + 2x - 2x - 4 + x^2 + 3x - x - 3)/((x + 3)(x - 2))`
= `(2x^2 + 2x - 7)/((x + 3)(x - 2))`
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
`"t"/("t"^2 - 5"t" + 6)`
Simplify `(4x^2y)/(2z^2) xx (6xz^3)/(20y^4)`
Simplify `(2"a"^2 + 5"a" + 3)/(2"a"^2 + 7"a" + 6) ÷ ("a"^2 + 6"a" + 5)/(-5"a"^2 - 35"a" - 50)`
Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
Identify rational expression should be subtracted from `(x^2 + 6x + 8)/(x^3 + 8)` to get `3/(x^2 - 2x + 4)`
Iniya bought 50 kg of fruits consisting of apples and bananas. She paid twice as much per kg for the apple as she did for the banana. If Iniya bought ₹ 1800 worth of apples and ₹ 600 worth bananas, then how many kgs of each fruit did she buy?
`(3y - 3)/y ÷ (7y - 7)/(3y^2)` is
Simplify `(1/("p") + 1/("q" + "r"))/(1/"p" - 1/("q" + "r")) xx [1 + ("q"^2 + "r"^2 - "p"^2)/(2"qr")]`
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