Advertisements
Advertisements
Question
Reduce the given Rational expression to its lowest form
`(10x^3 - 25x^2 + 4x - 10)/(-4 - 10x^2)`
Advertisements
Solution
10x3 – 25x2 + 4x – 10 = 5x2(2x – 5) + 2(2x – 5)
= (2x – 5) (5x2 + 2)
– 4 – 10x2 = – 2(2 + 5x2)
= – 2(5x2 + 2)
`(10x^3 - 25x^2 + 4x - 10)/(-4 - 10x^2) = ((2x - 5)(5x^2 + 2))/(-2(5x^2 + 2))`
= `(2x - 5)/(-2)` or `(2x)/(-2) - 5/(-2)`
= `- x + 5/2`
APPEARS IN
RELATED QUESTIONS
Reduce the following rational expression to its lowest form
`(x^2 - 1)/(x^2 + x)`
Reduce the following rational expression to its lowest form
`(9x^2 + 81x)/(x^3 + 8x^2 - 9x)`
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)`
If a polynomial p(x) = x2 – 5x – 14 is divided by another polynomial q(x) we get `(x - 7)/(x + 2)`, find q(x)
Simplify `(x + 2)/(x + 3) + (x - 1)/(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)
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.
If the sales continue to increase in the same way in the successive months, what will be sales in the month of August?
