Question

(2a-1/2) (2a+1/2) use suitable identity to find product​

Answer 1

Answer:

Step-by-step explanation:

(2a - 1/2)(2à + 1/2) = (2a)² - (1/2)²

= 4a² - 1/4

Answer 2

The suitable identity to find the product is (a-b)(a+b) = (a² - b)²

And the product of (2a - 1/2) (2a + 1/2) is [(16a² - 1)/4]

Given:

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

To find:

The suitable identity to find the product

Solution:

Given expression is (2a - 1/2) (2a + 1/2)

Take 2a = x and 1/2 = y

then given expression can be written as given below

=> (a - b)(a + b)

As we know from algebraic identities,

                 (a-b)(a+b) = (a² - b)²

then (2a - 1/2) (2a + 1/2) = [ (2a)² - (1/2)² ]

= [ 4a² - 1/4]

= [(16a² - 1)/4]

Therefore,

The suitable identity to find the product is (a-b)(a+b) = (a² - b)²

And the product of (2a - 1/2) (2a + 1/2) is [(16a² - 1)/4]

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