 Math 10C You might want to review simple algebra and binomial multiplication (FOIL) first. We'll start with some simpler algebra from Math 9. Example 1: 3(x + 4) = 3x + 12 This is the Distributive property Example 2: -2(x2 - 3x + 1) = -2x2 + 6x - 2 This is the Distributive property again. Watch the signs Example 3: -3x2 - 4x + 7x2 - 2 + 5x - 4 Combining 'like' terms = 4x2 + 1x - 6 Example 4: 2(x - 3) + 4(x + 2) = 2x - 6 + 4x + 8 Several uses of the Distributive property = 6x + 2 Combining 'like' terms The examples are now a little more difficult; these are from Math 10C. You should work along with each example, on paper. Example 5: 5(2x - 3) - 2(4x - 1) = 10x - 15 - 8x + 2 Several uses of the Distributive property = 2x - 13 Combining 'like' terms Example 6: 4(2x - 3) - (2x + 3) = 8x - 12 - 2x - 3 = 6x - 15 Example 7: 2(x + 5)2 = 2(x + 5)(x + 5) Do the FOIL first = 2(x2 + 5x + 5x + 25) = 2(x2 + 10x + 25) = 2x2 + 20x + 50 Save a step by doing the FOIL first, in one step: Example 8: 2(3x - 2)2 = 2(3x - 2)(3x - 2) = 2(9x2 - 12x + 4) = 18x2 - 24x + 8 Save another step by not rewriting the FOIL: Example 9: -3(2x - 1)2 = -3(4x2 - 4x + 1) = -12x2 + 12x - 3 |