Question 1142422
If 4b² + 1/b² = 2, find 8b³ + 1/b³
<pre>{{{matrix(1,3, 4b^2 + 1/b^2, "=", 2)}}}
{{{matrix(1,3, 2b(4b^2 + 1/b^2), "=", 2b(2))}}} ------ Multiplying each side by 2b
{{{matrix(1,7, 8b^3 + 2/b, "=", 4b, "======>", 8b^3, "=", 4b  -  2/b)}}}  

{{{matrix(1,3, (1/b)(4b^2 + 1/b^2), "=", (1/b)2)}}} --- Multiplying each side by {{{1/b}}}
{{{matrix(1,7, 4b + 1/b^3, "=", 2/b, "======>", 1/b^3, "=", 2/b  -  4b)}}}
{{{highlight_green(matrix(1,5, 8b^3 + 1/b^3, "=", 4b  -  2/b + 2/b  -  4b, "=", highlight(0)))}}}