Question

evaluate using suitable identities (2a+7) (2a-7)​

Answer 1

Step-by-step explanation:

using the identity,

$( {a}^{2} - {b}^{2} ) = ( a + b )(a - b)$

${(2a)}^{2} - {7}^{2}$

$4 {a}^{2} - 49$

Answer 2

(2a + 7) (2a - 7) = 4a² - 49

Given :

The expression (2a + 7) (2a - 7)

To find :

The value of the expression using suitable identity

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is (2a + 7) (2a - 7)

Step 2 of 2 :

Simplify the given expression

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

Thus we get

$\displaystyle \sf{(2a + 7)(2a - 7) }$

$\displaystyle \sf{ = {(2a)}^{2} - {7}^{2} }$

$\displaystyle \sf{ = 4 {a}^{2} - 49 }$

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