Sum & Difference of 2 Cubes

Sum & Difference of Cubes

These polynomial identities give the factorisation for the sum and difference of cubes. Commit them to memory.

a3 + b3 = (a + b)(a2 ab + b2)

a3 b3 = (a b)(a2 + ab + b2)

Explore!

Use the applet below to visualise the formula for the difference of cubes. Click on Transform! to start the animation.

Test Yourself!

Use the applet below to self-assess your understanding of factorising the sum and difference of 2 cubes.