If P + 1 P = 6 ; Find : P 2 + 1 P 2

If `"p" + (1)/"p" = 6`; find : `"p"^2 + (1)/"p"^2`

Sum

`("p" + (1)/"p")^2`

= `"p"^2 + (1)/"p"^2 + 2`

⇒ 36 = `"p"^2 + (1)/"p"^2 + 2`

⇒ `"p"^2 + (1)/"p"^2`
= 36 - 2
= 34.

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Chapter 3: Expansions - Exercise 4.2

Chapter 3 Expansions
Exercise 4.2 | Q 10.1

Write the following cube in expanded form:

(2x + 1)³

Give possible expression for the length and breadth of the following rectangle, in which their area is given:

If 49a² − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is

Use identities to evaluate : (97)²

Use the direct method to evaluate the following products :
(y + 5)(y – 3)

Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)

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

Expand the following:
(2x - 5) (2x + 5) (2x- 3)

If x + y = 1 and xy = -12; find:
x² - y².

Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)