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.

shaalaa.com

Is there an error in this question or solution?

Chapter 3: Expansions - Exercise 4.2

Chapter 3 Expansions
Exercise 4.2 | Q 24.12

Write the following cube in expanded form:

`[x-2/3y]^3`

Factorise the following:

`27p^3-1/216-9/2p^2+1/4p`

Write in the expanded form: (ab + bc + ca)²

Find the value of 27x³ + 8y³, if 3x + 2y = 14 and xy = 8

Find the following product:

(4x − 5y) (16x² + 20xy + 25y²)

If a - b = 0.9 and ab = 0.36; find:
(i) a + b
(ii) a² - b².

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

If a² - 3a - 1 = 0 and a ≠ 0, find : `"a" - (1)/"a"`

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

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