How do you simplify (x + 3)(x - 8) (x+3)(x−8)?

1 Answer
smendyka
Feb 27, 2017

See the entire simplification process below:

Explanation:

To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

(color(red)(x) + color(red)(3))(color(blue)(x) - color(blue)(8))(x+3)(x−8) becomes:

(color(red)(x) xx color(blue)(x)) - (color(red)(x) xx color(blue)(8)) + (color(red)(3) xx color(blue)(x)) - (color(red)(3) xx color(blue)(8))(x×x)−(x×8)+(3×x)−(3×8)

x^2 - 8x + 3x - 24x2−8x+3x−24

We can now combine like terms:

x^2 + (-8 + 3)x - 24x2+(−8+3)x−24

x^2 - 5x - 24x2−5x−24

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