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

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

If a − b = −8 and ab = −12, then a³ − b³ =

If a¹^/3 + b¹^/3 + c¹^/3 = 0, then

If a + b + c = 9 and ab + bc + ca =23, then a³+ b³+ c³ − 3abc =

Use the direct method to evaluate the following products:

(a – 8) (a + 2)

Use the direct method to evaluate :
(3b−1) (3b+1)

Use the direct method to evaluate :
(4+5x) (4−5x)

If m - n = 0.9 and mn = 0.36, find:
m² - n².

Simplify:
(2x - 4y + 7)(2x + 4y + 7)

Find the value of x³ – 8y³ – 36xy – 216, when x = 2y + 6