Page Three A3 + B3 = (A + B)(A2 - AB + B2) A3 -  B3 = (A - B)(A2 + AB + B2) Example 5: Factor 40u3 - 625v3 40 isn't a cube, but there is a common factor of 5 = 5(8u3 - 125v3) The bracket now contains a difference of cubes. A = 2u and B = 5v = 5(2u - 5v)((2u)2 + 10uv + (5v)2) = 5(2u - 5v)(4u2 + 10uv + 25v2) Example 6: Try this one yourself. Then check your solution below. 16x + 54x7 16x + 54x7 = 2x(8 + 27x6)   A = 2   B = 3x2 = 2x(2 + 3x2)(22 - 6x2 + (3x2)2) = 2x(2 + 3x2)(4 - 6x2 + 9x4) Right-click on a black area and choose 'reload' to return to normal. Page One | Page Two | Page Three Resources Content, HTML, graphics & design by Bill Willis 2023