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Factorize:

\(\frac{8}{27}\)x3 + 1 + \(\frac{4}{3}\)x2 + 2x

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Best answer

Given,

\(\frac{8}{24}\text{x}^3+1+\frac{4}{3}\text{x}^2\,+2\text{x},\)

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

\((\frac{2}{3}\text{x})^3+(1)^3+3\text{x}\frac{2}{3}\text{x}\,\times1(\frac{2}{3}\text{x}+1)\)

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

\((\frac{2}{3}\text{x}\,+1)(\frac{2}{3}\text{x}+1)(\frac{2}{3}\text{x}+1)\)

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