Advertisements
Advertisements
प्रश्न
Using suitable identity, evaluate the following:
1033
Advertisements
उत्तर
1033 = (100 + 3)3
= (100)3 + (3)3 + 3 × 10 × 3 × (100 + 3) ...[Using identity, (a + b)3 = a3 + b3 + 3ab(a + b)]
= 1000000 + 27 + 900(103)
= 1000027 + 92700
= 1092727
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Write in the expanded form:
`(m + 2n - 5p)^2`
Write in the expand form: `(2x - y + z)^2`
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Find the following product:
Find the following product:
If a + b = 6 and ab = 20, find the value of a3 − b3
If x = −2 and y = 1, by using an identity find the value of the following
Use the direct method to evaluate the following products:
(a – 8) (a + 2)
Use the direct method to evaluate :
(x+1) (x−1)
Use the direct method to evaluate :
(2+a) (2−a)
Use the direct method to evaluate :
(ab+x2) (ab−x2)
Expand the following:
(a + 3b)2
If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`
If `"a" + (1)/"a" = 2`, then show that `"a"^2 + (1)/"a"^2 = "a"^3 + (1)/"a"^3 = "a"^4 + (1)/"a"^4`
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Factorise the following:
4x2 + 20x + 25
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3
