Advertisements
Advertisements
प्रश्न
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Advertisements
उत्तर
64a3 – 27b3 – 144a2b + 108ab2
= (4a)3 – (3b)3 – 3(4a) (3b) (4a – 3b)
= (4a – 3b)3 ...[Using a3 – b3 – 3ab(a – b) = (a – b)3]
= (4a – 3b)(4a – 3b)(4a – 3b)
APPEARS IN
संबंधित प्रश्न
Evaluate the following using suitable identity:
(102)3
Factorise the following:
27y3 + 125z3
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
Write in the expanded form:
`(a + 2b + c)^2`
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
Find the following product:
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
Evalute : `( 7/8x + 4/5y)^2`
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Use the direct method to evaluate :
(ab+x2) (ab−x2)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Evaluate: (5xy − 7) (7xy + 9)
Evaluate: `(2"a"+1/"2a")(2"a"-1/"2a")`
Simplify by using formula :
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Expand the following:
(3a – 5b – c)2
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
