Advertisements
Advertisements
Question
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Advertisements
Solution
`27p^3 - 1/216 - 9/2p^2 + 1/4p`
= `(3p)^3 - (1/6)^3 - 3(3p)(1/6)(3p - 1/6)`
= `(3p-1/6)^3` ...[Using a3 − b3 − 3ab(a − b) = (a − b)3]
= `(3p-1/6)(3p-1/6)(3p-1/6)`
APPEARS IN
RELATED QUESTIONS
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
If \[x^3 - \frac{1}{x^3} = 14\],then \[x - \frac{1}{x} =\]
Find the square of : 3a - 4b
Use identities to evaluate : (502)2
Use the direct method to evaluate :
(x+1) (x−1)
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
Expand the following:
(a + 4) (a + 7)
Expand the following:
`(2"a" + 1/(2"a"))^2`
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
If a + b + c = 0, then a3 + b3 + c3 is equal to ______.
