Advertisements
Advertisements
Question
Write in the expanded form:
`(m + 2n - 5p)^2`
Advertisements
Solution
We have
`(m + 2n - 5p)^2 = m^2 + (2n)^2 + (-5p)^2 + 2(m)(2n) + 2(2n)(-5p) + 2(m)(-5p)`
`[∵ (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
` = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10pm`
`∴ (m + n - 5p)^2 = m^2 + 4n^2 + 25p^2 + 4mn - 20np - 10 "pm"`
APPEARS IN
RELATED QUESTIONS
Evaluate the following product without multiplying directly:
104 × 96
Evaluate the following using identities:
117 x 83
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
If \[x - \frac{1}{x} = 7\], find the value of \[x^3 - \frac{1}{x^3}\].
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] =
If a + b + c = 9 and ab + bc + ca =23, then a3 + b3 + c3 − 3abc =
If a + `1/a`= 6 and a ≠ 0 find :
(i) `a - 1/a (ii) a^2 - 1/a^2`
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
(x+1) (x−1)
Evaluate: (4 − ab) (8 + ab)
Evaluate: 203 × 197
Expand the following:
(2x - 5) (2x + 5) (2x- 3)
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(2x - 4y + 7)(2x + 4y + 7)
Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16
The coefficient of x in the expansion of (x + 3)3 is ______.
Expand the following:
`(1/x + y/3)^3`
