Advertisements
Advertisements
Question
Write in the expand form: `(2x - y + z)^2`
Advertisements
Solution
`(2x - y + z)^2 = [(2x) + (-y) + z]^2`
`= (2x)^2 + (-y)^2 + (z)^2 + 2(2x)(-y) + 2(-y)(z) + 2(2x)(z)`
`= 4x^2 + y^2 + z^2 + 4x(-y) - 2yz + 4xz`
`∴ (2x - y + z)^2 = 4x^2 + y^2 + z^2 - 4xy - 2yz + 4xz`
APPEARS IN
RELATED QUESTIONS
Use suitable identity to find the following product:
(x + 8) (x – 10)
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
Evaluate the following using identities:
(2x + y) (2x − y)
if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
If \[x - \frac{1}{x} = - 1\] find the value of \[x^2 + \frac{1}{x^2}\]
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
Evaluate of the following:
1043 + 963
Simplify of the following:
Find the following product:
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
Find the square of : 3a - 4b
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
Evaluate: `(2"x"-3/5)(2"x"+3/5)`
Simplify by using formula :
(x + y - 3) (x + y + 3)
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
The coefficient of x in the expansion of (x + 3)3 is ______.
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
