Advertisements
Advertisements
प्रश्न
Reduce the following rational expression to its lowest form
`(x^2 - 11x + 18)/(x^2 - 4x + 4)`
Advertisements
उत्तर
`(x^2 - 11x + 18)/(x^2 - 4x + 4)`

x2 – 11x + 18 = (x – 9) (x – 2)
x2 – 4x + 4 = (x – 2) (x – 2)
`(x^2 - 11x + 18)/(x^2 - 4x + 4) = ((x - 9)(x - 2))/((x - 2)(x - 2))`
= `(x - 9)/(x - 2)`

APPEARS IN
संबंधित प्रश्न
Simplify `("p"^2 - 10"p" + 21)/("p" - 7) xx ("p"^2 + "p" - 12)/("p" - 3)^2`
Simplify `(5"t"^3)/(4"t" - 8) xx (6"t" - 12)/(10"t")`
Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
Simplify `(x + 2)/(x + 3) + (x - 1)/(x - 2)`
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
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
Simplify `(1/("p") + 1/("q" + "r"))/(1/"p" - 1/("q" + "r")) xx [1 + ("q"^2 + "r"^2 - "p"^2)/(2"qr")]`
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.
