Advertisements
Advertisements
Question
Write in the expanded form: (-2x + 3y + 2z)2
Advertisements
Solution
(-2x + 3y + 2z)2 = ((-2x) + 3y + 2z)2
`= (-2x)^2 + (3y)^3 + (2z)^2 + 2(-2x)(3y) + 2(3y)(2z) + 2(2z)(-2x)`
`= 4x^2 + 9y^2 + 4z^2 - 12xy + 12yz - 8xz`
APPEARS IN
RELATED QUESTIONS
Write in the expand form: `(2x - y + z)^2`
Find the value of 4x2 + y2 + 25z2 + 4xy − 10yz − 20zx when x = 4, y = 3 and z = 2.
Evaluate of the following:
`(10.4)^3`
Find the value of 64x3 − 125z3, if 4x − 5z = 16 and xz = 12.
If a + b = 10 and ab = 16, find the value of a2 − ab + b2 and a2 + ab + b2
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
If \[x^3 - \frac{1}{x^3} = 14\],then \[x - \frac{1}{x} =\]
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
If `"p" + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`
Simplify:
(4x + 5y)2 + (4x - 5y)2
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
Expand the following:
`(4 - 1/(3x))^3`
