Advertisements
Advertisements
प्रश्न
Find the following product:
(x2 – 1)(x4 + x2 + 1)
Advertisements
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
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
If 9x2 + 25y2 = 181 and xy = −6, find the value of 3x + 5y
Simplify of the following:
Find the following product:
(7p4 + q) (49p8 − 7p4q + q2)
If x = −2 and y = 1, by using an identity find the value of the following
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
Use identities to evaluate : (502)2
If a + b = 7 and ab = 10; find a - b.
If a - b = 7 and ab = 18; find a + b.
If a - b = 0.9 and ab = 0.36; find:
(i) a + b
(ii) a2 - b2.
Expand the following:
(a + 4) (a + 7)
Expand the following:
(3x + 4) (2x - 1)
Expand the following:
(2x - 5) (2x + 5) (2x- 3)
Find the squares of the following:
`(7x)/(9y) - (9y)/(7x)`
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
Using suitable identity, evaluate the following:
101 × 102
Using suitable identity, evaluate the following:
9992
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
