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3 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Expanding single brackets |
If you're told to expand something like 5x(2x +1) then you multiply the term outside the brackets with the terms inside the brackets. So 5x times 2x equals 10x² and 5x times 1 equals 5x. So the overall answer is 10x² + 5x. Be careful because if it's a + inside the brackets then you write it with a + but if it's a - then you write it with a -. |
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Expanding double brackets |
If you're told to expand something like (5x - 6)(3x + 1) then you times the terms in the brackets with the terms in the other brackets. So 5x times 3x equals 15x², -6 times 1 equals -6, 5x times 1 equals 5x and -6 times 3x equals -18x. So when you put it together it becomes 15x² - 6 + 5x - 18x. 5x - 18x equals -13x so the answer is 15x² - 18x - 6. Your answer should always be written in the form x² + x + the ordinary number. |
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Practice |
Expand: 3x(2x + 8) 6x(7x - 4) -5x(8x+2) (3x + 6)(5x + 3) (6x + 4)(7x - 3) (9x - 5)(7x - 2) |
Remember, a positive times a positive is a positive, a positive times a negative is a negative, a negative times a positive is a negative and a negative times a negative is a positive. |
