Advertisements
Advertisements
Question
Find the ratio of the following in the simplest fcrm:
a4 + b4 and a3 - b3
Advertisements
Solution
`("a"^4 + "b"^4)/("a"^3 - "b"^3)`
`= (("a" - "b")("a"^3 + "ab"^2 +"a"^2"b" + "b"^3))/(("a" - "b")("a"^2 + "ab" + "b"^2))`
=`("a"^3 + "ab"^2 + "a"^2"b" + "b"^3)/("a"^2 + "ab" + "b"^2)`
= `"a"^3 + "ab"^2 + "a"^2"b" + "b"^3 : "a"^2 + "ab" + "b"^2`
APPEARS IN
RELATED QUESTIONS
What quantity must be added to each term of the ratio x : y so that it may become equal to c : d?
If `(7"m" + 2"n")/(7"m" - 2"n") = 5/3` use properties of proportion to find:
(i) m : n
(ii) `("m"^2 + "n"^2)/("m"^2 - "n"^2)`
If x and y be unequal and x: y is the duplicate ratio of (x + z) and (y + z) prove that z is mean proportional between x and y.
Find the fourth proportional of `1/3, 2/5` and 8.4.
If A : B = 3 : 5 and B : C = 4 : 7, find A : B : C.
Fill in the place holder:
In a box, the ratio of red marbles to blue marbles is 7 : 4. Which of the following could be the total number of marbles in the box?
5 kg : 7.5 kg = Rs 7.50 : Rs 5
An office opens at 9 a.m. and closes at 5.30 p.m. with a lunch break of 30 minutes. What is the ratio of lunch break to the total period in the office?
The students of a school belong to different religious backgrounds. The number of Hindu students is 288, the number of Muslim students is 252, the number of Sikh students is 144 and the number of Christian students is 72. Find the ratio of the number of Hindu students to the number of Christian students.
