Math, asked by vanishkakumari, 9 months ago

factorize
8/27x³+1+4/3x²+2x

irreverent things will be reported....​

Answers

Answered by pooja1091
1

Answer:

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Answered by Anonymous
38

 \huge\boxed{\fcolorbox{black}{pink}{answer}}

\huge\mathscr\pink{To Factorise}

 \frac{8}{27}{x}^{3}  + 1  +  \frac{4}{3}  {x}^{3}  + 2x

  \huge\bold\red{Solution}

 = ( \frac{2}{3} x)^{3}  +  {(1)}^{3}  + 3 \times(  \frac{2}{3} x) ^{3}  \times 1 + 3 \times ( {1)}^{3}  \times  \frac{2}{3} x

 = ( \frac{2}{3} x + 1)^{3}

  \huge\bold\red{Used Propertey}

a³+b³+3a²b+3ab²= (a+b)³

Therefore :-

  \huge\bold\red{answer}

 = ( \frac{2}{3} x + 1)( \frac{2}{3} x + 1)( \frac{2}{3} x + 1)

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