How do you find the product $(x+5)(x+2)$ ?

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Answer 1 · 2018-03-18T21:59:42

See a 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.

$(color(red)(x) + color(red)(5))(color(blue)(x) + color(blue)(2))$ becomes:

$(color(red)(x) xx color(blue)(x)) + (color(red)(x) xx color(blue)(2)) + (color(red)(5) xx color(blue)(x)) + (color(red)(5) xx color(blue)(2))$

$x^2 + 2x + 5x + 10$

We can now combine like terms:

$x^2 + (2 + 5)x + 10$

$x^2 + 7x + 10$

How do you find the product (x+5)(x+2)(x+5)(x+2)?