Advertisements
Advertisements
प्रश्न
Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
Advertisements
उत्तर
x2 – x – 6 = (x – 3) (x + 2)
`(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2) = (x + 2)/(4y) ÷ ((x - 3)(x + 2))/(12y^2)`
= `((x + 2))/(4y) xx (12y^2)/((x - 3)(x + 2))`
= `(3y)/(x - 3)`
APPEARS IN
संबंधित प्रश्न
Find the excluded values, of the following expression
`"t"/("t"^2 - 5"t" + 6)`
Find the excluded values, of the following expression
`(x^2 + 6x + 8)/(x^2 + x - 2)`
Simplify `(5"t"^3)/(4"t" - 8) xx (6"t" - 12)/(10"t")`
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 `("b"^2 + 3"b" - 28)/("b"^2 + 4"b" + 4) ÷ ("b"^2 - 49)/("b"^2 - 5"b" - 14)`
If a polynomial p(x) = x2 – 5x – 14 is divided by another polynomial q(x) we get `(x - 7)/(x + 2)`, find q(x)
Solve `1/3` (x + y – 5) = y – z = 2x – 11 = 9 – (x + 2z)
Arul, Madan and Ram working together can clean a store in 6 hours. Working alone, Madan takes twice as long to clean the store as Arul does. Ram needs three times as long as Arul does. How long would it take each if they are working alone?
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.
