Math, asked by akshaybhai2007, 8 months ago

factorise 1/64a^2-4/3ab+256/9b^2​

Answers

Answered by sahild2sf
5

Step-by-step explanation:

1/64a^2-4/3ab+256/9b^2

=(1/8a)^2-2×1/8a×16/3b+(16/3b)^2. (a^2-2ab+b^2=(a-b)^2)

=(1/8a-16/3b)^2

Answered by AkashMathematics
3

\huge{\boxed{\mathcal\pink{\fcolorbox{red}{purple}{Solution:-}}}}

Question:-

\boxed{\frac{1}{64}  -  \frac{4}{3ab}  +  \frac{256}{9 {b}^{2}} }

Answer:-

Factorising-

 =  >  \sqrt{ \frac{1}{64a {}^{2} }  -\frac{265}{9b {}^{2} } }  \\ \\   =  > \frac{1}{8a {}^{2}   }  -  \frac{16}{3b {}^{2} }   \\  \\ =  >  (  { \frac{1}{8a} -  \frac{16}{3b}  })^{2}

\huge{\boxed{\mathcal\red{\fcolorbox{pink}{blue}{THANKS:-}}}}

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