Advertisements
Advertisements
प्रश्न
Expand the following, using suitable identity:
(–2x + 3y + 2z)2
Advertisements
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
(–2x + 3y + 2z)2 = (–2x)2 + (3y)2 + (2z)2 + 2(–2x)(3y) + 2(3y)(2z) + 2(2z)(–2x)
= 4x2 + 9y2 + 4z2 – 12xy + 12yz – 8xz
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(x + 4) (x + 10)
Evaluate the following product without multiplying directly:
95 × 96
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Write in the expanded form: `(x + 2y + 4z)^2`
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
Evaluate of the following:
`(10.4)^3`
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{x}{y} - \frac{y}{3} \right) \frac{x^2}{16} + \frac{xy}{12} + \frac{y^2}{9}\]
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.
Simplify by using formula :
(1 + a) (1 - a) (1 + a2)
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
Simplify:
(x + y - z)2 + (x - y + z)2
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
Find the following product:
`(x/2 + 2y)(x^2/4 - xy + 4y^2)`
Simplify (2x – 5y)3 – (2x + 5y)3.
