How do you find the product of $(q+6)(q+5)$ ?

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Answer 1 · 2017-02-20T00:04:10

See the entire solution process below:

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

$(color(red)(q) + color(red)(6))(color(blue)(q) + color(blue)(5))$ becomes:

$(color(red)(q) xx color(blue)(q)) + (color(red)(q) xx color(blue)(5)) + (color(red)(6) xx color(blue)(q)) + (color(red)(6) xx color(blue)(5))$

$q^2 + 5q + 6q + 30$

We can now combine like terms:

$q^2 + (5 + 6)q + 30$

$q^2 + 11q + 30$

How do you find the product of (q+6)(q+5)(q+6)(q+5)?