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

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

Sum

(3x + 5y + 2z)(3x - 5y + 2z)
= (3x + 2z + 5y)(3x + 2z - 5y)
= (3x + 2z)² - (5y)²
= 9x² + 2(3)(2z) + 4z² - 25y²
= 9x² - 25y² + 4z² + 12xz.

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Chapter 4: Expansions - Exercise 4.2

Chapter 4 Expansions
Exercise 4.2 | Q 24.12

Simplify of the following:

\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]

Find the following product:

\[\left( \frac{3}{x} - \frac{5}{y} \right) \left( \frac{9}{x^2} + \frac{25}{y^2} + \frac{15}{xy} \right)\]

(x − y) (x + y) (x² + y²) (x⁴+ y⁴) is equal to ______.

If \[x - \frac{1}{x} = \frac{15}{4}\], then \[x + \frac{1}{x}\] =

Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)

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)

Simplify by using formula :

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

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

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

The coefficient of x in the expansion of (x + 3)³ is ______.