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
Expand the following, using suitable identity:
(–2x + 3y + 2z)2
Evaluate following using identities:
991 ☓ 1009
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Write in the expanded form: (-2x + 3y + 2z)2
Simplify the following expressions:
`(x^2 - x + 1)^2 - (x^2 + x + 1)^2`
If a − b = 4 and ab = 21, find the value of a3 −b3
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
If a1/3 + b1/3 + c1/3 = 0, then
The product (a + b) (a − b) (a2 − ab + b2) (a2 + ab + b2) is equal to
If 49a2 − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is
Find the square of : 3a - 4b
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate the following products :
(8 – b) (3 + b)
If p + q = 8 and p - q = 4, find:
pq
If m - n = 0.9 and mn = 0.36, find:
m + n
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
If a + b + c = 5 and ab + bc + ca = 10, then prove that a3 + b3 + c3 – 3abc = – 25.
Prove that (a + b + c)3 – a3 – b3 – c3 = 3(a + b)(b + c)(c + a).
