How do you simplify $(4x+7)(3x+2)$ ?

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Answer 1 · 2017-02-15T13:18:39

See the entire simplification process below:

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

$(color(red)(4x) + color(red)(7))(color(blue)(3x) + color(blue)(2))$ becomes:

$(color(red)(4x) xx color(blue)(3x)) + (color(red)(4x) xx color(blue)(2)) + (color(red)(7) xx color(blue)(3x)) + (color(red)(7) xx color(blue)(2))$

$12x^2 + 8x + 21x + 14$

We can now combine like terms:

$12x^2 + (8 + 21)x + 14$

$12x^2 + 29x + 14$

How do you simplify (4x+7)(3x+2)(4x+7)(3x+2)?