Advertisements
Advertisements
प्रश्न
Find the following product:
(4x − 5y) (16x2 + 20xy + 25y2)
Advertisements
उत्तर
Given (4x − 5y) (16x2 + 20xy + 25y2)
We shall use the identity `(a-b)(a^2 + ab + b^2) = a^3 -b^3`
We can rearrange the (4x − 5y) (16x2 + 20xy + 25y2)as
` =(4x - 5y)[(4x)^2 + (4x)(5y) + (5y)^2]`
` = (4x)^3 - (5y)^3`
` = (4x) xx (4x) xx (4x) + (5y) xx (5y) xx (5y)`
` = 64x^3 - 125y^2`
Hence the Product value of ` (3x+2y)(9x^2 - 6xy + 4y^2)`is `64x^3 - 125y^3`.
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(3x + 4) (3x – 5)
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Evaluate the following using identities:
(2x + y) (2x − y)
Write in the expanded form:
(2a - 3b - c)2
Simplify (2x + p - c)2 - (2x - p + c)2
Find the cube of the following binomials expression :
\[\frac{1}{x} + \frac{y}{3}\]
If \[x + \frac{1}{x} = 5\], find the value of \[x^3 + \frac{1}{x^3}\]
Evaluate the following:
(98)3
Evaluate of the following:
1113 − 893
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Evaluate: (2 − z) (15 − z)
Evaluate the following without multiplying:
(999)2
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If `x + (1)/x = 3`; find `x^4 + (1)/x^4`
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(2x + y)(4x2 - 2xy + y2)
If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.
Expand the following:
(4a – b + 2c)2
