Advertisements
Advertisements
Question
Write in the expanded form:
`(a + 2b + c)^2`
Advertisements
Solution
We have `(a + 2b + c)^3`
`= a^2 + (2b)^2 + (c)^2 + 2(a)(2b) + 2ac + (2b)2c`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
`∴ (a + 2b + c)^2 = a^2 + 4b^2 + c^2 + 4ac + 2ac + 4bc`
APPEARS IN
RELATED QUESTIONS
Without actually calculating the cubes, find the value of the following:
(28)3 + (–15)3 + (–13)3
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Simplify (a + b + c)2 + (a - b + c)2
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
Find the cube of the following binomials expression :
\[\frac{1}{x} + \frac{y}{3}\]
(a − b)3 + (b − c)3 + (c − a)3 =
If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =
If a + b + c = 9 and ab + bc + ca =23, then a3 + b3 + c3 − 3abc =
Evalute : `( 7/8x + 4/5y)^2`
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
Evaluate: (6 − 5xy) (6 + 5xy)
Expand the following:
(a + 4) (a + 7)
Expand the following:
(m + 8) (m - 7)
Find the squares of the following:
3p - 4q2
If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`
Expand the following:
(4a – b + 2c)2
Find the value of x3 – 8y3 – 36xy – 216, when x = 2y + 6
