Advertisements
Advertisements
Question
Simplify by using formula :
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
Advertisements
Solution
`("a" + 2/"a" - 1) ("a" - 2/"a" - 1)`
= `("a" - 1)^2 - (2/"a")^2`
= `"a"^2 + 1 - 2"a" - (4)/"a"^2`
(Using identity : (a + b)(a - b) = a2 - b2).
APPEARS IN
RELATED QUESTIONS
Find the cube of the following binomials expression :
\[\frac{1}{x} + \frac{y}{3}\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
Find the following product:
(4x − 3y + 2z) (16x2 + 9y2 + 4z2 + 12xy + 6yz − 8zx)
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Use the direct method to evaluate the following products:
(a – 8) (a + 2)
Evaluate the following without multiplying:
(103)2
If p + q = 8 and p - q = 4, find:
p2 + q2
If a2 - 3a - 1 = 0 and a ≠ 0, find : `"a"^2 - (1)/"a"^2`
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
Expand the following:
`(1/x + y/3)^3`
