Expanding brackets part two

Some\times we will need to expand two pairs of brackets multiplied together.

Let’s expand $(x + 5)^2$

$(x + 5)^2 = (x + 5) \times (x + 5)$

The \times symbol is usually dropped so that

$(x + 5)^2 = (x + 5)(x + 5)$

To expand brackets like this every term in the second bracket is multiplied by every term in the first bracket

$(x + 5)(x + 5)$

$= x(x+5) + 5(x+5)$

$= x^2 + 5x + 5x +25$

$= x^2 + 10x +25$

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