Question

Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.

Answer 1

$\\ \sf\longmapsto 2(5m-4)-3(m-5)^2$

$\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)$

$\\ \sf\longmapsto 10m-8-3(m^2-10m+25)$

$\\ \sf\longmapsto 10m-8-3m^2+30m-75$

$\\ \sf\longmapsto -3m^2+30m+10m-75-8$

$\\ \sf\longmapsto -3m^2+40m-83$