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

The volume of the cuboid is given by the polynomial p(x) = $(25x^2-1)+(1+5x)^2$

p(x) = $((5x)^2-(1)^2)+(1+5x)^2$

Using the algebraic identity $a^2-b^2 = (a+b)(a-b)$

p(x) = $(5x+1)(5x-1) + (1+5x)^2$

taking (5x+1) common from both the terms, we get

p(x) = $(5x+1) [5x-1+5x+1]$

p(x) = (5x+1)(10x)

Since, volume of cuboid is given by the formula $l \times b \times h$.

So, (5x+1)(10x) can be expressed as (5x+1)(2x)(5) or (5x+1)(5x)(2) or (5x+1)(x)(10)

Hence, these are the possible dimensions of the given cuboid.

Answer 2

Answer:

This is the answer.

Step-by-step explanation:

Thanks.