Aultiply and simplify the following radical expressions. Assume all variables are positive.

1swer 2 Points
Keyboard SH

Ask by Pearson Carrillo. in the United States

Mar 21,2025

Question

Aultiply and simplify the following radical expressions. Assume all variables are positive. $$ (4 \sqrt{x}+4)(\sqrt{x}-4) $$ 1swer 2 Points Keyboard SH

UpStudy AI · Accepted Answer

We start with the expression
$$
(4\sqrt{x} + 4)(\sqrt{x} - 4).
$$
First, distribute each term in the first parenthesis across the terms in the second parenthesis:
$$
4\sqrt{x} \cdot \sqrt{x} + 4\sqrt{x} \cdot (-4) + 4\cdot \sqrt{x} + 4\cdot (-4).
$$
Simplify each product:
$$
4x - 16\sqrt{x} + 4\sqrt{x} - 16.
$$
Next, combine like terms (the terms involving $$\sqrt{x}$$):
$$
4x - 12\sqrt{x} - 16.
$$
Thus, the simplified expression is
$$
4x - 12\sqrt{x} - 16.
$$
The simplified expression is $$4x - 12\sqrt{x} - 16$$.

Aultiply and simplify the following radical expressions. Assume all variables are positive.

1swer 2 Points
Keyboard SH

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Aultiply and simplify the following radical expressions. Assume all variables are positive. 1swer 2 Points Keyboard SH