Question

use suitable identity to find the following product (3-2x) (3+2x) with steps

Answer 1

Answer:

Step-by-step explanation:

(3-2x) (3+2x)

identity to be used : $a^{2}$ – $b^{2}$ = (a – b)(a + b)

$3^{2} - 2x^{2}$

$9$-$4x^{2}$

Answer 2

(3 - 2x) (3 + 2x) = 9 - 4x²

Given :

The expression (3 - 2x) (3 + 2x)

To find :

The product using suitable identity

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

(3 - 2x) (3 + 2x)

Step 2 of 2 :

Find the product using suitable identity

We use the identity a² - b² = ( a + b ) ( a - b )

Thus we get

$\displaystyle \sf{ (3 + 2x)(3 - 2x) }$

$\displaystyle \sf{ = {(3)}^{2} - {(2x)}^{2} }$

$\displaystyle \sf{ = 9 - 4 {x}^{2} }$

∴ (3 - 2x) (3 + 2x) = 9 - 4x²

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