How do you find the product (b-7)(b+3)(b−7)(b+3)?

1 Answer
smendyka
Feb 3, 2017

See the entire solution 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)(b) - color(red)(7))(color(blue)(b) + color(blue)(3))(b−7)(b+3) becomes:

(color(red)(b) xx color(blue)(b)) + (color(red)(b) xx color(blue)(3)) - (color(red)(7) xx color(blue)(b)) - (color(red)(7) xx color(blue)(3))(b×b)+(b×3)−(7×b)−(7×3)

b^2 + 3b - 7b - 21b2+3b−7b−21

We can now combine like terms:

b^2 + (3 - 7)b - 21b2+(3−7)b−21

b^2 - 4b - 21b2−4b−21

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