Math Doubts

Factorization by the Difference of Two Cubes Questions with Solutions

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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 $8x^3-\dfrac{1}{27y^3}$
Ashok Kumar B.E. - Founder of Math Doubts

Ashok Kumar, B.E.

Founder of Math Doubts

A Specialist in Mathematics, Physics, and Engineering with 14 years of experience helping students master complex concepts from basics to advanced levels with clarity and precision.

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