Advertisements
Advertisements
प्रश्न
Expand the following:
(3a – 5b – c)2
Advertisements
उत्तर
(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
संबंधित प्रश्न
Factorise the following using appropriate identity:
9x2 + 6xy + y2
Write the following cube in expanded form:
`[3/2x+1]^3`
Factorise the following:
`27p^3-1/216-9/2p^2+1/4p`
Factorise:
27x3 + y3 + z3 – 9xyz
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:
`(m + 2n - 5p)^2`
Write in the expanded form (a2 + b2 + c2 )2
Find the value of 4x2 + y2 + 25z2 + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.
Simplify the following expressions:
`(x^2 - x + 1)^2 - (x^2 + x + 1)^2`
Evaluate of the following:
463+343
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Expand the following:
`(2"a" + 1/(2"a"))^2`
Simplify by using formula :
(x + y - 3) (x + y + 3)
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If m - n = 0.9 and mn = 0.36, find:
m + n
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
