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
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 `(x + 2)/(4"y") ÷ (x^2 - x - 6)/(12y^2)`
Simplify `(x(x + 1))/(x - 2) + (x(1 - x))/(x - 2)`
Simplify `(x^3)/(x - y) + (y^3)/(y - x)`
Subtract `1/(x^2 + 2)` from `(2x^3 + x^2 + 3)/(x^2 + 2)^2`
Identify rational expression should be subtracted from `(x^2 + 6x + 8)/(x^3 + 8)` to get `3/(x^2 - 2x + 4)`
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
In a three-digit number, when the tens and the hundreds digit are interchanged the new number is 54 more than three times the original number. If 198 is added to the number, the digits are reversed. The tens digit exceeds the hundreds digit by twice as that of the tens digit exceeds the unit digit. Find the original number
At t minutes past 2 pm, the time needed to 3 pm is 3 minutes less than `("t"^2)/4`. Find t.
