Advertisements
Advertisements
प्रश्न
Find the ratio of the following in the simplest fcrm:
a4 + b4 and a3 - b3
Advertisements
उत्तर
`("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
संबंधित प्रश्न
If (p – x) : (q – x) be the duplicate ratio of p : q then show that : `1/p + 1/q = 1/x`.
If `(y- x)/x = 3/8` , find the value of `y /x`
If 3x – 2y – 7z = 0 and 2x + 3y – 5z = 0 find x : y : z.
The ratio between two numbers is 3: 4. If their L.C.M., is 180. Find the numbers.
Ten gram of an alloy of metals A and B contains 7.5 gm of metal A and the rest is metal B. Find the ratio between:
- the weights of metals A and B in the alloy.
- the weight of metal B and the weight of the alloy.
Find the fourth proportional of 3, 12 and 4
The ratio of the number of girls to the number of boys in a school is 2 : 5. If the number of boys is 225; find:
(i) the number of girls in the school.
(ii) the number of students in the school.
40 men can finish a piece of work in 26 days. How many men will be needed to finish it in 16 days?
Express 150% as a ratio in the lowest form.
Two numbers are in the ratio 5 : 8. If 10 is subtracted from each number, the ratio becomes 4 : 7. The numbers are ______.
