Advertisements
Advertisements
प्रश्न
Write the expanded form:
`(-3x + y + z)^2`
Advertisements
उत्तर
`(-3x + y + z)^2 = [(-3x) + y + z]^2`
`=(-3x)^2 + y^2 + z^2 + 2(-3x)y + 2yz + 2(-3x)z`
`[∵(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca]`
`= 9x^2 + y^2 + z^2 - 6xy + 2yz - 6xz`
`∴ (-3x + y + z)^2 = 9x^2 + y^2 + z^2 - 6xy + 2xy - 6xz`
APPEARS IN
संबंधित प्रश्न
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:
(0.98)2
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
Find the following product:
(7p4 + q) (49p8 − 7p4q + q2)
Find the following product:
If x = −2 and y = 1, by using an identity find the value of the following
If \[x^4 + \frac{1}{x^4} = 194,\] then \[x^3 + \frac{1}{x^3} =\]
If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`
Evaluate: `(4/7"a"+3/4"b")(4/7"a"-3/4"b")`
Simplify by using formula :
(1 + a) (1 - a) (1 + a2)
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If x + y = 9, xy = 20
find: x2 - y2.
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
If a + b + c = 0, then a3 + b3 + c3 is equal to ______.
Expand the following:
(3a – 5b – c)2
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
