Advertisements
Advertisements
प्रश्न
Write in the expanded form:
(2a - 3b - c)2
Advertisements
उत्तर
We have
`(2a - 3b - c)^2 = [(2a) + (-3b) +(-c)]^2`
`= (2a)^2 + (-3b)^2 + (-c)^2 + 2(2a)(-3b) + 2(-3b)(-c) + 2(2a)(-c)`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc = 2ca]`
`= 4a^2 + 9b^2 + c^2 - 12ab + 6bc - 4ac`
`∴ (2a - 3b - c)^2 = 4a^2 + 9b^2 + c^2 - 12ab + 6bc - 4ca`
APPEARS IN
संबंधित प्रश्न
Write the following cube in expanded form:
`[x-2/3y]^3`
Evaluate the following using suitable identity:
(998)3
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
Write the expanded form:
`(-3x + y + z)^2`
Simplify (2x + p - c)2 - (2x - p + c)2
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
Evaluate the following:
(98)3
Find the following product:
\[\left( \frac{x}{2} + 2y \right) \left( \frac{x^2}{4} - xy + 4 y^2 \right)\]
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
The product (a + b) (a − b) (a2 − ab + b2) (a2 + ab + b2) is equal to
Use identities to evaluate : (101)2
Use identities to evaluate : (998)2
If a + `1/a`= 6 and a ≠ 0 find :
(i) `a - 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate :
(2a+3) (2a−3)
Evaluate: (2a + 0.5) (7a − 0.3)
Simplify by using formula :
(5x - 9) (5x + 9)
Evaluate, using (a + b)(a - b)= a2 - b2.
999 x 1001
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
