Advertisements
Advertisements
Question
Expand the following:
(3a – 5b – c)2
Advertisements
Solution
(3a – 5b – c)2
= (3a)2 + (–5b)2 + (–c)2 + 2(3a)(–5b) + 2(–5b)(–c) + 2(–c)(3a) ...[Using identity, (a + b + c)2 – a2 + b2 + c2 + 2ab + 2bc + 2ca]
= 9a2 + 25b2 + c2 – 30ab + 10bc – 6ac
APPEARS IN
RELATED QUESTIONS
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Factorise the following:
27y3 + 125z3
Factorise the following:
64m3 – 343n3
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
Evaluate the following using identities:
`(2x+ 1/x)^2`
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
Evaluate of the following:
(99)3
Evaluate of the following:
463+343
If x + y + z = 8 and xy +yz +zx = 20, find the value of x3 + y3 + z3 −3xyz
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
Mark the correct alternative in each of the following:
If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
(xy+4) (xy−4)
Simplify by using formula :
(x + y - 3) (x + y + 3)
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If p2 + q2 + r2 = 82 and pq + qr + pr = 18; find p + q + r.
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
Simplify (2x – 5y)3 – (2x + 5y)3.
