`5 xx (-2/5)^2 + 2 xx (-2/5) + 4 xx (-2/5)^0`
`= 5 xx 4/25 + 2 xx (-2/5) + 4 xx 1`
`= 1 xx 4/5 + 2 xx (-2/5) + 4 xx 1`
`= 4/5 + -4/5 + 4`
`= 0 + 4`
`= 4 `
\(5.\left(-\dfrac{2}{5}\right)^2+2.\left(-\dfrac{2}{5}\right)+4.\left(-\dfrac{2}{5}\right)^0\)
\(=5.\dfrac{4}{25}+\dfrac{-4}{5}+4.1\)
\(=\dfrac{4}{5}-\dfrac{4}{5}+4\)
\(=\dfrac{4}{5}-\dfrac{4}{5}+\dfrac{20}{5}\)
\(=\dfrac{4-4+20}{5}\)
\(=\dfrac{20}{5}\)
\(=4\)
\(=5\times\dfrac{2}{25}+\left(-\dfrac{4}{5}\right)+4\times1\)
\(=\dfrac{2}{5}-\dfrac{4}{5}+4\)
\(=\dfrac{2}{5}-\dfrac{4}{5}+\dfrac{20}{5}\)
\(=\dfrac{2-4+20}{5}=\dfrac{18}{5}\)