Math, asked by sana2024o, 10 months ago

if 9x^2-b=(3x+1/2)(3x-1/2), then the value of b is​

Answers

Answered by BrainlyTornado
14

ANSWER:

b=1/4

TO FIND:

b=??

IDENTITY USED:

(a+b)(a-b)=a²-b²

EXPLANATION:

9 {x}^{2}  - b =  (\frac{6x + 1}{2} ) (\frac{6x  -  1}{2} ) \\ 9 {x}^{2}  - b =   \frac{ {(6x)}^{2} -  {1}^{2}  }{4}  \\ b = 9 {x}^{2}  - ( \frac{36 {x}^{2}  - 1}{4}  ) \\  b =  \frac{36 {x}^{2}- 36 {x}^{2}  + 1 }{4 }   \\ b =  \frac{1}{4}

HENCE THE VALUE OF b=1/4

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