Question

Using suitable identity evaluate ( 2a - 7 ) ( 2a - 7 )

Answer 1

Answer:

4a^2-14a+49

Step-by-step explanation:

(2a-7)(2a-7)=(2a-7)^2

(2a-7)^2=2a^2-(2a*7)+7^2

         =4a^2-14a+49

identity= (a-b)^2

Answer 2

Given:

( 2a - 7 ) and ( 2a - 7 )

To Find:

( 2a - 7 ) ( 2a - 7 )

Solution:

Any value, say x, multipler by itself can be written as x^2.

Thus,

( 2a - 7 ) ( 2a - 7 ) can be written as (2a-7)^2.

The identity to be used is,

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

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

${(2a - 7)}^{2} = 4 {a}^{2} - 28a + 49$

The value of ( 2a - 7 ) ( 2a - 7 ) is 4a^2 - 28a + 49.