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

Solución de inteligencia artificial de Upstudy

Responder

Solución

Extra Insights

preguntas relacionadas

Latest Algebra Questions

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