How do you simplify (4sqrtx+1)(3sqrtx+2)?

1 Answer
smendyka
May 18, 2017

See a 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)(4sqrt(x)) + color(red)(1))(color(blue)(3sqrt(x) + color(blue)(2)) becomes:

(color(red)(4sqrt(x)) xx color(blue)(3sqrt(x))) + (color(red)(4sqrt(x)) xx color(blue)(2)) + (color(red)(1) xx color(blue)(3sqrt(x))) + (color(red)(1) xx color(blue)(2))

12(sqrt(x))^2 + 8sqrt(x) + 3sqrt(x) + 2

12x + 8sqrt(x) + 3sqrt(x) + 2

We can now combine like terms:

12x + (8 + 3)sqrt(x) + 2

12x + 11sqrt(x) + 2

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