Advertisements
Advertisements
प्रश्न
Evaluate the following using suitable identity:
(102)3
Advertisements
उत्तर
It is known that,
(a + b)3 = a3 + b3 + 3ab(a + b) and (a − b)3 = a3 − b3 − 3ab(a − b)
∴ (102)3 = (100 + 2)3
= (100)3 + (2)3 + 3(100)(2)(100 + 2)
= 1000000 + 8 + 600(102)
= 1000000 + 8 + 61200
= 1061208
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
(–2x + 3y + 2z)2
Write the following cube in expanded form:
(2a – 3b)3
Evaluate the following using suitable identity:
(99)3
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
Factorise the following:
27y3 + 125z3
If x + y + z = 0, show that x3 + y3 + z3 = 3xyz.
Simplify the following
`(7.83 + 7.83 - 1.17 xx 1.17)/6.66`
If 9x2 + 25y2 = 181 and xy = −6, find the value of 3x + 5y
Write in the expanded form: (ab + bc + ca)2
Write in the expanded form: `(x/y + y/z + z/x)^2`
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
Find the following product:
\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
Use the direct method to evaluate :
(2a+3) (2a−3)
Expand the following:
(2p - 3q)2
Simplify by using formula :
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
If m - n = 0.9 and mn = 0.36, find:
m + n
If x + y = 1 and xy = -12; find:
x2 - y2.
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Expand the following:
(3a – 5b – c)2
