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Post by Admin on Sept 23, 2016 19:19:58 GMT
When expanding brackets that are cubed like:
(A + B)³
The answer will always be like this:
A³ + 3A²B + 3AB² + B³
Notice a pattern?
The first term within the bracket starts off cubed and minuses a power each time you add with it. The second term within the bracket is the opposite as it starts off with 0 and adds a power each time you add with it.
Also, when doing this kind of question, there will always be 4 terms in the expression and the Coefficients will ALWAYS be 1,3,3,1 - in that order!
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Post by Admin on Oct 27, 2017 15:08:19 GMT
To show that a line is perpendicular with another line, you find out the slopes of each line and then multiply the slopes. The answer should be -1. If so, it is perpendicular.
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Post by Admin on Oct 27, 2017 15:33:30 GMT
To find a factor of an equation, we use the factor theorem. This is where we use trial and error to find one factor of the equation. Keep doing f(number) = 0 until the result of the equation is 0. After you have done so, bring the root over the equal sign. For example, if 2 was the root you had that resulted the equation in 0, then (x - 2) is the factor. Or if -1 was the root you had that resulted the equation in 0, then (x + 1) is a factor. Don't forget to trial and error negative integers! Then divide that factor into the equation through long division. Finally, we factorise it as it's a quadratic equation now. You will be given the other two factors which satisfy the equation then.
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