# How do you translate b^2-3c^3 into a verbal expression?

Jul 26, 2015

${b}^{2} - 3 {c}^{3}$ means "The difference between b squared and three c cubed."

Jul 28, 2015

"The square of b minus three times the cube of c"

(that makes it clear that it is $3 \cdot {c}^{3}$, not ${\left(3 c\right)}^{3}$)

${b}^{2} - {\left(3 c\right)}^{3}$

it would be:

"The square of b minus the cube of the quantity three times c"

Furthermore, if one were to say:

"The square of b minus three times c, quantity cubed"

it could be confused as:

${\left({b}^{2} - 3 c\right)}^{3}$

or

${b}^{2} - {\left(3 c\right)}^{3}$

(which quantity was cubed? $3 c$ or the whole thing?)