Advertisements
Advertisements
प्रश्न
Factorise the following using appropriate identity:
`x^2 - y^2/100`
Advertisements
उत्तर
`x^2 - y^2/100 = x^2 - (y/10)^2`
= `(x+y/10)(x-y/10)` ...[x2 − y2 = (x + y)(x − y)]
APPEARS IN
संबंधित प्रश्न
Use suitable identity to find the following product:
(3 – 2x) (3 + 2x)
Factorise the following using appropriate identity:
4y2 – 4y + 1
Verify:
x3 – y3 = (x – y) (x2 + xy + y2)
Evaluate the following using identities:
(1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
Prove that a2 + b2 + c2 − ab − bc − ca is always non-negative for all values of a, b and c
Find the cube of the following binomials expression :
\[\frac{3}{x} - \frac{2}{x^2}\]
Find the value of 27x3 + 8y3, if 3x + 2y = 14 and xy = 8
If \[x + \frac{1}{x} = 2\], then \[x^3 + \frac{1}{x^3} =\]
If a − b = −8 and ab = −12, then a3 − b3 =
If \[x^4 + \frac{1}{x^4} = 194,\] then \[x^3 + \frac{1}{x^3} =\]
If a - b = 4 and a + b = 6; find
(i) a2 + b2
(ii) ab
Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)
Use the direct method to evaluate :
(2a+3) (2a−3)
Evaluate: (1.6x + 0.7y) (1.6x − 0.7y)
If x + y = 9, xy = 20
find: x - y
If `"p" + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Factorise the following:
25x2 + 16y2 + 4z2 – 40xy + 16yz – 20xz
