factor completely...

Question

x^3+x^2-64p^3-16p^2

Answer 1

This might be another factoring of the expression.

Regrouping the terms gives

x³ +x² - 64p³ -16p²

This can be written as

x² (x +1) -(16p²)(4p+1)

or x² (x +1) -(4p)²(4p+1)

Answer 2

Regroup......(x^3 - 64p^3) + (x^2 - 16p^2) Now use difference of perfect cubes and difference of perfect squares.

 

(x-4p)(x^2 +4xp + 16p^2) + (x - 4p)(x + 4p)   Now take out the common factor of (x - 4p)

 

(x - 4p)(x^2 + 4xp + 16p^2 + x + 4p)

 

Hope this helped