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
Expand the following, using suitable identity:
(x + 2y + 4z)2
Expand the following, using suitable identity:
(3a – 7b – c)2
Factorise:
4x2 + 9y2 + 16z2 + 12xy – 24yz – 16xz
Write the following cube in expanded form:
`[3/2x+1]^3`
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
Write in the expanded form:
`(a/(bc) + b/(ca) + c/(ab))^2`
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
Evaluate of the following:
(99)3
Find the following product:
(3x + 2y) (9x2 − 6xy + 4y2)
If a − b = −8 and ab = −12, then a3 − b3 =
If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =
If \[\frac{a}{b} + \frac{b}{a} = 1\] then a3 + b3 =
Evaluate: (9 − y) (7 + y)
Evaluate: (4 − ab) (8 + ab)
Find the squares of the following:
9m - 2n
If x + y = 9, xy = 20
find: x - y
If `"a" + 1/"a" = 6;`find `"a"^2 - 1/"a"^2`
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
