Advertisements
Advertisements
Question
Factorise the following:
64m3 – 343n3
Advertisements
Solution
We know that, x3 − y3 = (x − y)(x2 + xy + y2)
It is given that, 64m3 − 343n3 = (4m)3 − (7n)3
= (4m − 7n)[(4m)2 + (4m)(7n) + (7n)2]
= (4m − 7n)(16m2 + 28mn + 49n2)
APPEARS IN
RELATED QUESTIONS
Use suitable identity to find the following product:
`(y^2+3/2)(y^2-3/2)`
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Write in the expanded form:
`(2 + x - 2y)^2`
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
Evaluate of the following:
933 − 1073
Simplify of the following:
If x + y + z = 8 and xy +yz +zx = 20, find the value of x3 + y3 + z3 −3xyz
If a − b = 5 and ab = 12, find the value of a2 + b2
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
If a2 + b2 + c2 − ab − bc − ca =0, then
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Evaluate: `(2"x"-3/5)(2"x"+3/5)`
If x + y = 9, xy = 20
find: x - y
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16
Expand the following:
(3a – 2b)3
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
