Use the Direct Method to Evaluate : (3/5"A"+1/2)(3/5"A"-1/2)

Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`

Sum

Note: (a+b) (a−b) = a² − b²

`(3/5"a"+1/2)(3/5"a"-1/2)`

`=(3/5 "a")^2-(1/2)^2`

`=9/25"a"^2-1/4`

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Chapter 12: Identities - Exercise 12 (A) [Page 150]

Chapter 12 Identities
Exercise 12 (A) | Q 2.1 | Page 150

Simplify the following: 175 x 175 x 2 x 175 x 25 x 25 x 25

if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`

If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]

Find the value of 27x³ + 8y³, if 3x + 2y = 20 and xy = \[\frac{14}{9}\]

Evalute : `((2x)/7 - (7y)/4)^2`

If a - `1/a`= 8 and a ≠ 0 find :
(i) `a + 1/a (ii) a^2 - 1/a^2`

If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :

`"a" + (1)/"a"`

If p² + q² + r² = 82 and pq + qr + pr = 18; find p + q + r.

If x + y + z = p and xy + yz + zx = q; find x² + y² + z².

Using suitable identity, evaluate the following:

103³