jaydenrod0712 jaydenrod0712
  • 03-07-2019
  • Mathematics
contestada

What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?

Respuesta :

gmany
gmany gmany
  • 15-07-2019

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]

Answer Link
jgnjmh457
jgnjmh457 jgnjmh457
  • 30-01-2020

Answer:

the one with ++-

Step-by-step explanation:

Answer Link

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