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
Factorise the following using appropriate identity:
4y2 – 4y + 1
Factorise the following using appropriate identity:
`x^2 - y^2/100`
Write the following cube in expanded form:
`[3/2x+1]^3`
Evaluate the following using identities:
(2x + y) (2x − y)
Evaluate following using identities:
(a - 0.1) (a + 0.1)
Evaluate the following using identities:
117 x 83
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
Write in the expanded form: `(x/y + y/z + z/x)^2`
Simplify (a + b + c)2 + (a - b + c)2
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Simplify (2x + p - c)2 - (2x - p + c)2
If `x^4 + 1/x^4 = 194, "find" x^3 + 1/x^3`
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
Use the direct method to evaluate the following products:
(a – 8) (a + 2)
Use the direct method to evaluate :
`("a"/2-"b"/3)("a"/2+"b"/3)`
If `"a" + 1/"a" = 6;`find `"a" - 1/"a"`
If m - n = 0.9 and mn = 0.36, find:
m2 - n2.
If x + y = 1 and xy = -12; find:
x - y
Simplify:
(4x + 5y)2 + (4x - 5y)2
Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)
