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×1_. (×1_ + 2x²) 3 2. simplify

Sagot :

[tex]x\times\frac{1}{3}(x\times\frac{1}{2}+2x^2)=\frac{x}{3}\times(\frac{x}{2}+2x^2)[/tex]

Open the bracket in the above expression.

[tex]\begin{gathered} \frac{x}{3}\times(\frac{x}{2}+2x^2)=\frac{x}{3}\times\frac{x}{2}+\frac{x}{3}\times2x^2 \\ =\frac{x^2}{2\times3}+\frac{2x^3}{3} \\ =\frac{x^2}{6}+\frac{2x^3}{3} \\ =\frac{2}{3}x^3+\frac{1}{6}x^2 \end{gathered}[/tex]

Thus, the simplest form of the given expression is,

[tex]\frac{2}{3}x^3+\frac{1}{6}x^2[/tex]

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