Advertisements
Advertisements
Question
Expand `("x"-2/"x")^2`
Advertisements
Solution
It is known that (a + b)2 = a2 + 2ab + b2 and (a − b)2 = a2 − 2ab + b2.
`("x"-2/"x")^2`
= `("x")^2-2xx("x")xx(2/"x")+(2/"x")^2`
= `"x"^2-4+4/"x"^2`
RELATED QUESTIONS
Factorise the following expressions
y2 – 10y + 25
A square lawn has a 2 m wide path surrounding it. If the area of the path is 136 m2, find the area of lawn
Square of 3x – 4y is ______.
(a – b)2 + ______ = a2 – b2
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
x2 – 10x + 25
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
y2 – 14y + 49
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
`x^2/4 - 2x + 4`
Factorise the following, using the identity a2 – 2ab + b2 = (a – b)2.
a2y3 – 2aby2 + b2y
Factorise the following.
p2 – 13p – 30
If x – y = 13 and xy = 28, then find x2 + y2.
