Advertisements
Advertisements
प्रश्न
Reduce the given Rational expression to its lowest form
`(x^(3"a") - 8)/(x^(2"a") + 2x^"a" + 4)`
उत्तर
x3a – 8 = (xa)3 – 23 ...(using the formula a3 – b3 = (a – b)(a2 + ab + b2)
= (xa – 2)[(xa)2 + xa × 2 + 22]
= (xa – 2) (x2a + 2xa + 4)
`(x^(3"a") - 8)/(x^(2"a") + 2x^"a" + 4) = ((x^"a" - 2)(x^(2"a") + 2x^"a" + 4))/((x^(2"a") + 2x^"a" + 4))`
= xa – 2
APPEARS IN
संबंधित प्रश्न
Find the excluded values, of the following expression
`(x^3 - 27)/(x^3 + x^2 - 6x)`
Simplify `(4x^2y)/(2z^2) xx (6xz^3)/(20y^4)`
Simplify `("p"^2 - 10"p" + 21)/("p" - 7) xx ("p"^2 + "p" - 12)/("p" - 3)^2`
Simplify `(x + 4)/(3x + 4y) xx (9x^2 - 16y^2)/(2x^2 + 3x - 20)`
Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
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
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 `((2x + 1)(x - 2))/(x - 4) - ((2x^2 - 5x + 2))/(x - 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?
One hundred and fifty students are admitted to a school. They are distributed over three sections A, B and C. If 6 students are shifted from section A to section C, the sections will have equal number of students. If 4 times of students of section C exceeds the number of students of section A by the number of students in section B, find the number of students in the three sections
