Advertisements
Advertisements
प्रश्न
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Advertisements
उत्तर
It is known that,
(x + y + z)2 = x2 + y2 + z2 + 2xy + 2yz + 2zx
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
= `(-sqrt2x)^2 + (y)^2 + (2sqrt2z)^2 + 2(-sqrt2x)(y) + 2(y)(2sqrt2z) + 2(-sqrt2x)(2sqrt2z)`
= `(-sqrt2x + y + 2sqrt2z)^2`
= `(-sqrt2x + y + 2sqrt2z)(-sqrt2x + y + 2sqrt2z)`
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(3x + 4) (3x – 5)
Evaluate the following product without multiplying directly:
104 × 96
Simplify the following products:
`(1/2a - 3b)(1/2a + 3b)(1/4a^2 + 9b^2)`
Simplify the following product:
(x2 + x − 2)(x2 − x + 2)
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
Evaluate of the following:
1043 + 963
Simplify of the following:
(x+3)3 + (x−3)3
Find the following product:
Evaluate:
253 − 753 + 503
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
If \[\frac{a}{b} + \frac{b}{a} = - 1\] then a3 − b3 =
If a1/3 + b1/3 + c1/3 = 0, then
Find the square of : 3a + 7b
Find the square of : 3a - 4b
Use identities to evaluate : (998)2
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Expand the following:
`(2"a" + 1/(2"a"))^2`
If x + y = 1 and xy = -12; find:
x2 - y2.
Factorise the following:
9y2 – 66yz + 121z2
