Advertisements
Advertisements
Question
Write the following cube in expanded form:
`[x-2/3y]^3`
Solution
(x - y)3 = x3 - y3 - 3xy(x - y)
Using Identity
`[x - 2/3y]^3 = x^3 - (2/3y)^3 - 3(x)(2/3y)(x - 2/3y)`
= `x^3 - 8/27y^3 - 2xy(x - 2/3y)`
= `x^3 - 8/27y^3 - 2x^2y + 4/3xy^2`
APPEARS IN
RELATED QUESTIONS
Use suitable identity to find the following product:
(x + 8) (x – 10)
Evaluate the following product without multiplying directly:
104 × 96
Evaluate the following using suitable identity:
(998)3
Evaluate following using identities:
(a - 0.1) (a + 0.1)
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Evaluate of the following:
463+343
Find the following product:
If 49a2 − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Find the squares of the following:
3p - 4q2
Evaluate the following without multiplying:
(999)2
Evaluate the following without multiplying:
(1005)2
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
If p2 + q2 + r2 = 82 and pq + qr + pr = 18; find p + q + r.
Simplify:
(4x + 5y)2 + (4x - 5y)2
Simplify:
(x + y - z)2 + (x - y + z)2
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
Find the following product:
(x2 – 1)(x4 + x2 + 1)
Without actually calculating the cubes, find the value of:
(0.2)3 – (0.3)3 + (0.1)3
