Advertisements
Advertisements
प्रश्न
Factorise:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
Advertisements
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
= (2x)2 + (3y)2 + (−4z)2 + 2(2x)(3y) + 2(3y)(−4z) + 2(−4z)(2x)
= (2x + 3y – 4z)2
= (2x + 3y – 4z)(2x + 3y – 4z)
APPEARS IN
संबंधित प्रश्न
Factorise the following:
27 – 125a3 – 135a + 225a2
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Write in the expanded form:
`(2 + x - 2y)^2`
Simplify (a + b + c)2 + (a - b + c)2
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]
If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
If 49a2 − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is
Use the direct method to evaluate :
(x+1) (x−1)
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a" + (1)/"a"`
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
Simplify:
(3a - 7b + 3)(3a - 7b + 5)
If a + b + c = 0, then a3 + b3 + c3 is equal to ______.
