Advertisements
Advertisements
प्रश्न
Find the following product:
(x2 – 1)(x4 + x2 + 1)
उत्तर
(x2 – 1)(x4 + x2 + 1) = x2(x4 + x2 + 1) – 1(x4 + x2 + 1)
= [x2(x4) + x2(x2) + x2(1) – 1(x4) – 1(x2) – 1(1)]
= x6 + x4 + x2 – x4 – x2 – 1
= x6 – 1
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
(3a – 7b – c)2
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
If \[x - \frac{1}{x} = 5\] ,find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
Evalute : `( 7/8x + 4/5y)^2`
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Expand the following:
(a + 3b)2
Find the squares of the following:
(2a + 3b - 4c)
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Using suitable identity, evaluate the following:
9992
Factorise the following:
9y2 – 66yz + 121z2
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
Simplify (2x – 5y)3 – (2x + 5y)3.
If a + b + c = 5 and ab + bc + ca = 10, then prove that a3 + b3 + c3 – 3abc = – 25.
