How do you simplify (x-5)(x+3)(x−5)(x+3)?

1 Answer
Jim G.
Oct 3, 2016

x^2-2x-15x2−2x−15

Explanation:

We must ensure that each term in the color(blue)"second bracket"second bracket is multiplied by each term in the color(blue)"first bracket"first bracket
This can be done as follows.

color(red)(x)(x+3)color(red)(-5)(x+3)x(x+3)−5(x+3)

distribute the brackets.

x^2+3x-5x-15x2+3x−5x−15

collect like terms.

=x^2-2x-15=x2−2x−15

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