Advertisements
Advertisements
प्रश्न
Write in the expanded form:
`(m + 2n - 5p)^2`
Advertisements
उत्तर
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
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 8) (x – 10)
Expand the following, using suitable identity:
(x + 2y + 4z)2
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Write in the expanded form:
(2a - 3b - c)2
Simplify: `(a + b + c)^2 - (a - b + c)^2`
If a + b = 6 and ab = 20, find the value of a3 − b3
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
The product (x2−1) (x4 + x2 + 1) is equal to
Use identities to evaluate : (97)2
If x + y = `7/2 "and xy" =5/2`; find: x - y and x2 - y2
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
(2+a) (2−a)
Expand the following:
`(2"a" + 1/(2"a"))^2`
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
Using suitable identity, evaluate the following:
1033
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
