Advertisements
Advertisements
प्रश्न
Write the following cube in expanded form:
(2x + 1)3
Advertisements
उत्तर
It is known that,
(a + b)3 = a3 + b3 + 3ab(a + b) and (a − b)3 = a3 − b3 − 3ab(a − b (2x + 1)3
= (2x)3 + 13 + (3 × 2x × 1)(2x + 1)
= 8x3 + 1 + 6x(2x + 1)
= 8x3 + 12x2 + 6x + 1
APPEARS IN
संबंधित प्रश्न
Write the following cube in expanded form:
`[x-2/3y]^3`
Evaluate the following using suitable identity:
(99)3
Evaluate the following using identities:
`(2x+ 1/x)^2`
Evaluate the following using identities:
`(a^2b - b^2a)^2`
Write in the expanded form: (ab + bc + ca)2
Simplify the expression:
`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`
Find the value of 64x3 − 125z3, if 4x − 5z = 16 and xz = 12.
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
If x + y + z = 8 and xy +yz +zx = 20, find the value of x3 + y3 + z3 −3xyz
If a + b = 7 and ab = 12, find the value of a2 + b2
If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] =
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
Evalute : `((2x)/7 - (7y)/4)^2`
If a - b = 7 and ab = 18; find a + b.
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
Simplify:
(7a +5b)2 - (7a - 5b)2
Using suitable identity, evaluate the following:
101 × 102
Expand the following:
`(1/x + y/3)^3`
