Advertisements
Advertisements
प्रश्न
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Advertisements
उत्तर
Volume of cuboid = (length) × (width) × (height)
We have, 12ky2 + 8ky – 20k
= 4[3ky2 + 2ky – 5k]
= 4[k(3y2 + 2y – 5)]
= 4 × k × (3y2 + 2y – 5)
= 4k[3y2 – 3y + 5y – 5]
= 4k[3y(y – 1) + 5(y – 1)]
= 4k[(3y + 5) × (y – 1)]
= 4k × (3y + 5) × (y – 1)
Thus, the possible dimensions of the cuboid are 4k, (3y + 5) and (y – 1).
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
104 × 96
Evaluate the following using suitable identity:
(998)3
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
Simplify the following
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
If a + b = 8 and ab = 6, find the value of a3 + b3
If x + y + z = 8 and xy +yz +zx = 20, find the value of x3 + y3 + z3 −3xyz
Find the square of : 3a - 4b
Use identities to evaluate : (998)2
If a + b = 7 and ab = 10; find a - b.
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
Evaluate: (2a + 0.5) (7a − 0.3)
Evaluate: (2 − z) (15 − z)
Evaluate: (6 − 5xy) (6 + 5xy)
Expand the following:
(m + 8) (m - 7)
Expand the following:
(x - 5) (x - 4)
If x + y = 1 and xy = -12; find:
x - y
If x + y = 1 and xy = -12; find:
x2 - y2.
If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`
Using suitable identity, evaluate the following:
101 × 102
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
