Factorization by the Difference of Two Cubes Questions with Solutions

The terms in polynomials can be in cube form. In some cases, the polynomials in the form of the difference of cubes should be factored. The following worksheet is the examples on factoring the difference of cubes polynomials problems for practice with solutions to learn how to factorize the algebraic expressions in the form of difference of two cubes.

1. Factorize $x^3$ $-$ $729$
2. Factorise $p^6$ $-$ $512q^6$
3. Factorize $216a^3$ $-$ $27$
4. Factorise $250x^3$ $-$ $16y^3$
5. Factorize $a^3$ $-$ $\dfrac{343}{a^3}$
6. Factorise $1$ $-$ $a^3$ $-$ $b^3$ $-$ $3ab$
7. Factorize $\dfrac{x^3}{216}$ $-$ $8y^3$
8. Factorise $8x^2y^5$ $-$ $x^5$
9. Factorize $1029$ $-$ $9p$ $-$ $3x^3$
10. Factorise $a^3$ $-$ $\dfrac{1}{a^3}$ $-$ $2a$ $+$ $\dfrac{2}{a}$
11. Factorize $8x^3-\dfrac{1}{27y^3}$