Question

CAN SOMEONE JUST PLEASE ANSWER THIS ASAP FOR BRAINLIEST!!’

Answer 1

ANSWER

The three expressions are

$V = 2(9 - {b}^{3} )(9 + {b}^{3} )$

EXPLANATION

We were given the volume in cubic units to

$V = 162 - 2 {b}^{6}$

If we factor 2, we get,

$V = 2(81 - {b}^{6} )$

The expression in parenthesis is a difference of two squares. But you may not recognize it at first sight.

$V = 2( {9}^{2} - ({b}^{3})^{2} )$

This further gives us.

$V = (2)(9 - {b}^{3} )(9 + {b}^{3} )$