Answer:
[tex]\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}[/tex]
Step-by-step explanation:
The formula of a volume of a rectangular box:
[tex]V=lwh[/tex]
l - lenght
w - width
h - height
[tex]V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)[/tex]
Therefore the dinemsions of thisp prism are:
[tex](2b+3)\times(5b-1)\times(5b+1)[/tex]
