Expand and simplify (x-2)(2x+3)(x+1)

When answering this type of question, it is often easiest to break working out down into two big chunks, to keep everything organised.

Chunk One - Expanding and Simplifying Two of the Brackets

To begin, you should select two of the three brackets to expand: for this example, we will use (2x + 3)(x + 1) and the FOIL method of expansion to multiply all of the terms.



First - take the first terms of the brackets (so 2x and x) and multiply them together: for this example that gives 2x2 

Outside - take the two outermost terms of the brackets (2x and 1) and multiply them together: for this example that gives 2x

Inside - take the two innermost terms of the brackets (3 and x) and multiply them together: for this example that gives 3x

Last - take the last terms of the brackets (so 3 and 1) and multiply them together: for this example that gives 3.

Some people may draw lines between terms when doing this (as seen in the diagram above) leaving you with a “crab claw” around the brackets.

Write down everything you have worked out as one long expression
2x2 + 2x + 3x + 3

Then, we will simplify this expression by grouping any “like” terms (this just means group together any bits with x where they have the same power)                     
2x2 + 5x + 3

Chunk Two: Multiplying the final bracket by your simplified expression

The easiest way to do this next step is to use a table, and multiply your algebraic terms together in the same way you would using a grid method for long multiplication.

To begin, draw a grid and label it as shown below. Along the top of the grid, you should have the terms from your simplified expression, and down the side you should have the terms of the final bracket.



Next, fill in the grid by multiplying the terms (e.g. to fill in the first box you would do 2x2 multiplied by x, leaving us with 2x3) and take extra care to watch out for any negative terms when multiplying.

Your completed table should look like the diagram below:

<img 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At a school number of boys : number of girls = 9 : 7 There are 116 more boys than girls. Work out the total number of students at the school.


Given the function f(x) = 2x^(2) + 3, find the value of x when f(x) = 53.


(x - 3)(x + 4) = 0 Solve for x


Factorise and solve x2 - 8x + 15 = 0


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