As shown in the diagram above the 7 is being used to multiply the terms inside the first bracket ( 4 + 12x) and the -2 is used to multiply the terms in the second bracket ( 7 - 4x )
Therefore the solution to this question would be : 7 * 4 + 7 * 12x - 2 * 7 - 2 * 4x
28 + 84x - 14 + 8x
84x + 8x + 28 - 14
92x + 14
In the diagram below is a method we call the "FOIL" method.
This is known as :
First
Inner
Outer
Last
With the foil method, the process is different from before.
To solve such expressions you will have to follow a specific pattern to arrive at your final answer. That pattern is known as the "FIRST, INNER, OUTER, LAST".
For example:
(2x-2)(x+4)
First - 2x * x
Outer - 2x * 4
Inner - 2 * x
Last - 2 * 4
As shown the terms inside the first bracket were used to multiply the terms in the second bracket.
2x * x + 2x * 4 - 2 * x - 2 * 4
2x^2 + 8x - 2x - 8
2x^2 + 6x - 8
If you want more detailed steps on how to use both methods feel free to check out our page titled :
" Fun and easy steps on how to expand and simplify expressions properly + mistakes and tips
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