Question

Use suitable identities to find the following products:- (i) (3-2x) (3+2x)

Answer 1

Step-by-step explanation:

using identity

(x-a)(x+a) = x² - a²

(3-2x)(3+2x) = 9-4x²

Answer 2

Answer:

9 – 4x²

Step-by-step explanation:

As per the information provided in the question, We have :

• (3 – 2x)(3 + 2x)

We are asked to find the product of it using a suitable identity.

As it is in the form of ⇒(a - b)(a + b), The identity used will be — (a - b)(a + b) = a² – b².

Where,

• a = 3
• b = 2x

∴ Hence,

⇒ $\rm(3 - 2x)(3 + 2x) = {(3)}^2 - {(2x)}^2$

⇒ $\rm(3 - 2x)(3 + 2x) = 9 - {(2x)}^2$

⇒ $\rm(3 - 2x)(3 + 2x) = 9 - {4x}^{2}$

∴ Product of (3 – 2x)(3 + 2x) = 9 – 4x².

$\rule{200}2$

Learn more!

• ( a + b)² = a² + b² + 2ab
• ( a - b )² = a² + b² - 2ab
• ( a + b )² + ( a - b)² = 2a² + 2b²
• ( a + b )² - ( a - b)² = 4ab
• ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca
• a² + b² = ( a + b)² - 2ab
• (a + b )³ = a³ + b³ + 3ab ( a + b)
• ( a - b)³ = a³ - b³ - 3ab ( a - b)
• If a + b + c = 0 then a³ + b³ + c³ = 3abc.