Question

if the volume of a cuboid is given by P(x) =(25x²-1)+(1+5x)² then find the possible dimensions. Please help!!!!!!!!!!!!!

Answer 1

$\textbf{ \huge{ Hello Mate! }}$

$p(x) = {(25x - 1)}^{2} + {(1 + 5x)}^{2} \\ p(x) = {( {(5x)}^{2} - {1}^{2} ) }^{2} + {(5x + 1)}^{2} \\ p(x) = {((5x + 1)(5x - 1))}^{2} + {(5x + 1)}^{2} \\ p(x) = {(5x + 1)}^{2} {(5x - 1)}^{2} + {(5x + 1)}^{2} \\ p(x) = {(5x + 1)}^{2} (( {5x - 1) }^{2} + 1)$

Hence,

Length = 1 or (5x+1)^2 or [(5x-1)^2+1]

Breadth = (5x+1)^2 or [(5x-1)^2+1] or 1

Height = [(5x-1)^2+1] or 1 or (5x+1)^2

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