Expand the following:

$(i i i) (x - 5) (x - 4)$

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Solution

Given: Expression is $(x - 5) (x - 4)$

Now, expand the given binomials by multiplying $(x - 4)$ with each term of $(x - 5)$

$\Rightarrow (x - 5) (x - 4) = x \times (x - 4) - 5 \times (x - 4)$
$= x^{2} - 4 x - 5 x + 20$
$= x^{2} - 9 x + 20$

Hence, $(x - 5) (x - 4) = x^{2} - 9 x + 20$

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