Question

Using identity find (6x^2-5/3)^2

Answer 1

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Using identity find (6x^2-5/3)^2

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Here this identity is used :-

${(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy$

${(6 {x}^{2} - \frac{5}{3} )}^{2} = {(6 {x}^{2}) }^{2} + {( \frac{5}{3}) }^{2} - 2( {6x}^{2} )( \frac{5}{3} ) = 36 {x}^{4} + \frac{25}{9} - \frac{60 {x}^{2} }{3}$

see ⇑⇑⇑in the picture above attach for complete solution step by step:-

Hope it helps you..!!!

_________________

Thankyou:)

Answer 2

Step-by-step explanation:

Here this identity is used :-

{(x - y)}^{2} = {x}^{2} + {y}^{2} - 2xy(x−y)

2

=x

2

+y

2

−2xy

{(6 {x}^{2} - \frac{5}{3} )}^{2} = {(6 {x}^{2}) }^{2} + {( \frac{5}{3}) }^{2} - 2( {6x}^{2} )( \frac{5}{3} ) = 36 {x}^{4} + \frac{25}{9} - \frac{60 {x}^{2} }{3}(6x

60 {x}^{2} }{3}(6x 2

−

3

5

)

2

=(6x

2

)

2

+(

3

5

)

2

−2(6x

2

)(

3

5

)=36x

4

+

9

25

3

60x

2

see ⇑⇑⇑in the picture above attach for complete solution step by step:-

Hope it helps you..!!!

_________________

Thankyou:)