Advertisements
Advertisements
प्रश्न
Simplify `(2"a"^2 + 5"a" + 3)/(2"a"^2 + 7"a" + 6) ÷ ("a"^2 + 6"a" + 5)/(-5"a"^2 - 35"a" - 50)`
Advertisements
उत्तर
2a2 + 5a + 3a + 3 = 2a2 + 2a + 3a + 3
= 2a(a + 1) + 3 (a + 1)
= (a + 1) (2a + 3)
2a2 + 7a + 6 = 2a2 + 3a + 4a + 6
= a(2a + 3) + 2 (2a + 3)
= (2a + 3) (a + 2)
a2 + 6a + 5 = (a + 5) + (a + 1)
– 5a2 – 35a – 50 = – 5(a2 + 7a + 10)
= – 5(a + 5)(a + 2)
`(2"a"^2 + 5"a" + 3)/(2"a"^2 + 7"a" + 6) ÷ ("a"^2 + 6"a" + 5)/(-5"a"^2 - 35"a" - 50)`
= `(("a" + 1)(2"a" + 3))/((2"a" + 3)("a" + 2)) ÷ (("a" + 5)("a" + 1))/(-5("a" + 5)("a" + 2))`
= `(("a" + 1))/(("a" + 2)) ÷ (("a" + 1))/(-5("a" + 2))`
= `(("a" + 1))/(("a" + 2)) xx (-5("a" + 2))/(("a" + 1))`
= – 5
APPEARS IN
संबंधित प्रश्न
Reduce the following rational expression to its lowest form
`(x^2 - 1)/(x^2 + x)`
Simplify `(4x^2y)/(2z^2) xx (6xz^3)/(20y^4)`
Simplify `(x + 4)/(3x + 4y) xx (9x^2 - 16y^2)/(2x^2 + 3x - 20)`
Simplify `(x + 2)/(x + 3) + (x - 1)/(x - 2)`
Simplify `(4x)/(x^2 - 1) - (x + 1)/(x - 1)`
Identify rational expression should be subtracted from `(x^2 + 6x + 8)/(x^3 + 8)` to get `3/(x^2 - 2x + 4)`
`(3y - 3)/y ÷ (7y - 7)/(3y^2)` is
Solve `1/3` (x + y – 5) = y – z = 2x – 11 = 9 – (x + 2z)
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
Reduce the given Rational expression to its lowest form
`(x^(3"a") - 8)/(x^(2"a") + 2x^"a" + 4)`
