Brackets

//When we multiply out a bracket we use the distributive law a(b + c) = (a x b) + (a x c) or ab + ac//
 * 1. How to multiply out a bracket then simplify**
 * e.g. 4(y-3) = 4y - 12
 * e.g. 3(x + 7) = 3x + 21
 * e.g. -6(2b - 3c) = -12b + 18c

//When there is more then one bracket like this, 8(x + 2y) - 4(2x + y), you will need to do the following://
 * Multiply out the brackets e.g. 8x + 16y - 8x - 4y
 * Write the like terms together e.g. 8x - 8x + 16y - 4y
 * Add or subtract like terms e.g. 0 + 12y
 * Write the answer e.g. 12y

//When you see an expression, like this 12 - (p-4),// you can do the following:
 * The bracket needs to be multiplied by -1 e.g. 12 - 1(p - 4)
 * Also, you need to remember the rules for positive and negatives e.g. -1 x p = -p, and -1 x -4 = 4
 * The answer would then be 12 - p + 4, which can be simplified to 16 - p

//When there is just two brackets, like this (3x - 2)(x - 5), you can do the following://
 * Multiply all the terms in the first bracket by all the terms in the second bracket.
 * (3x - 2)(x - 5)
 * = 3x(x - 5) -2(x - 5)
 * = 3x 2 - 15x - 2x + 10
 * = 3x 2 - 17x + 10

or, you can use the **FOIL** method:
 * **F**irst - Multiply the first term in each set of brackets e.g. 3x multiplied by x
 * **O**uter - Multiply the outer term in each set of brackets e.g. 3x multiplied by -5
 * **I**nner - Multiply the inner term in each set of brackets e.g. -2 multiplied by x
 * **L**ast - Multiply the last term in each set of brackets e.g. -2 multiplied by -5

Also see - []


 * 3. Quick fire Quizzer**
 * Questions 2 & 3
 * 5 minutes

1. (a + 2b)(3a - b) 2. (2n + 3)(3n + 2) 3. (3 + 2x)(2 - 3x) + 6x 2 4. (3x + 2)(3x - 4) - (2x + 4) 5. (a + m) 2
 * 4. In your books**
 * Have a go at...
 * Review 1 on page 183
 * Question 4 (also on 183)
 * Extra Challenge - expand and simplify: