Advertisements
Advertisements
प्रश्न
Simplify `(x^3)/(x - y) + (y^3)/(y - x)`
Advertisements
उत्तर
`(x^3)/(x - y) + (y^3)/(y - x)`
= `(x^3)/(x - y) - y^3/(-1(x - y))`
= `(x^3)/(x - y) - (y^3)/(x - y)`
= `(x^3 - y^3)/(x - y)` ...(using a3 – b3 = (a – b) (a2 + ab + b2))
= `((x - y)(x^2 + xy + y^2))/(x - y)`
= x2 + xy + y2
APPEARS IN
संबंधित प्रश्न
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")`
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 `("b"^2 + 3"b" - 28)/("b"^2 + 4"b" + 4) ÷ ("b"^2 - 49)/("b"^2 - 5"b" - 14)`
Simplify `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
Subtract `1/(x^2 + 2)` from `(2x^3 + x^2 + 3)/(x^2 + 2)^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?
Solve `1/3` (x + y – 5) = y – z = 2x – 11 = 9 – (x + 2z)
Reduce the given Rational expression to its lowest form
`(10x^3 - 25x^2 + 4x - 10)/(-4 - 10x^2)`
