Advertisements
Advertisements
प्रश्न
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
Advertisements
उत्तर
Given, area of rectangle = 4a2 + 6a – 2a – 3
= 4a2 + 4a – 3 ...[By splitting middle term]
= 2a(2a + 3) – 1(2a + 3)
= (2a – 1)(2a + 3)
Hence, possible length = 2a – 1 and breadth = 2a + 3
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(3 – 2x) (3 + 2x)
Expand the following, using suitable identity:
(3a – 7b – c)2
Evaluate the following using suitable identity:
(99)3
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
Evaluate of the following:
(9.9)3
Find the following product:
(3x − 4y + 5z) (9x2 +16y2 + 25z2 + 12xy −15zx + 20yz)
If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
If a + b = 7 and ab = 10; find a - b.
Use the direct method to evaluate :
(x+1) (x−1)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Expand the following:
(x - 5) (x - 4)
Simplify by using formula :
(x + y - 3) (x + y + 3)
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`
Simplify:
(7a +5b)2 - (7a - 5b)2
Expand the following:
`(1/x + y/3)^3`
