Advertisements
Advertisements
प्रश्न
Factorise the following:
`1/x^2 + 1/y^2 + 2/(xy)`
Advertisements
उत्तर
`1/x^2 + 1/y^2 + 2/(xy) = (1/x)^2 + (1/y)^2 + 2(1/x) xx 1/y`
= `(1/x + 1/y)^2` ...[a2 + b2 + 2ab = (a + b)2]
APPEARS IN
संबंधित प्रश्न
In each of the following, using the remainder theorem, find the remainder when f(x) is divided by g(x) and verify the result by actual division: (1−8)
f(x) = x3 + 4x2 − 3x + 10, g(x) = x + 4
Find the remainder when x3 + 3x2 + 3x + 1 is divided by 5 + 2x .
f(x) = x3 −6x2 − 19x + 84, g(x) = x − 7
Find the values of a and b, if x2 − 4 is a factor of ax4 + 2x3 − 3x2 + bx − 4.
In the following two polynomials, find the value of a, if x − a is factor (x5 − a2x3 + 2x + a + 1).
3x3 − x2 − 3x + 1
2y3 − 5y2 − 19y + 42
x3 − 3x2 − 9x − 5
Find the remainder when x3 + 4x2 + 4x − 3 is divided by x.
If (x + 5) and (x – 3) are the factors of ax2 + bx + c, then values of a, b and c are
