Question

×1_. (×1_ + 2x²) 3 2. simplify

Answer 1

`x*(1)/(3)(x*(1)/(2)+2x^2)=(x)/(3)*((x)/(2)+2x^2)`

Open the bracket in the above expression.

`\begin{gathered} (x)/(3)*((x)/(2)+2x^2)=(x)/(3)*(x)/(2)+(x)/(3)*2x^2 \\ =(x^2)/(2*3)+(2x^3)/(3) \\ =(x^2)/(6)+(2x^3)/(3) \\ =(2)/(3)x^3+(1)/(6)x^2 \end{gathered}`

Thus, the simplest form of the given expression is,

`(2)/(3)x^3+(1)/(6)x^2`