How do you translate $b^{2} - 3 c^{3}$ $b^2-3c^3$ into a verbal expression?

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Answer 1 · 2015-07-26T21:52:37

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

Answer 2 · 2015-07-28T00:14:51

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

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

If it was this, for example:

$b^{2} - {(3 c)}^{3}$ $b^2 - (3c)^3$

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:

${(b^{2} - 3 c)}^{3}$ $(b^2 - 3c)^3$

or

$b^{2} - {(3 c)}^{3}$ $b^2 - (3c)^3$

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

How do you translate b2−3c3b^2-3c^3 into a verbal expression?