Question 623751
{{{5x^3+40y^6}}} What would you like to do with this expression?
Factor it, perhaps? Ok, but please include some instructions next time!
Factor:
{{{5x^3+40y^6}}} Factor a 5 then rewrite this as:
{{{5(x^3+8y^6)}}} Do you recognise the factor in parentheses as the sum of two cubes?
{{{5((x)^3+(2y^2)^3)}}}
The sum of two cubes is factorble as:
{{{A^3+B^3 = (A+B)(A^2-AB+B^2)}}} where: {{{A = x}}} and {{{B = 2y^2}}} so we have:
{{{5(x+2y^2)(x^2-2xy^2+4y^4)}}}