Simplify the expression completely if possible. (4x^(2))/(8x^(2)+48 x) Answer:

Factor out common term: Factor out the common term in the denominator. The denominator is 8x^(2) + 48x, which has a common factor of 8x. Factoring this out, we get: 8x(x + 6)Simplify by canceling factors: Simplify the fraction by canceling out common factors. The numerator is 4x^(2), which has a common factor of 4x with the denominator (after factoring). Canceling out the common factor of 4x from the numerator and 8x from the denominator, we get: (4x^(2))/(8x(x + 6)) = (4/8)(x/x)(1/(x + 6)) = (1/2)(1/(x + 6))Further simplify expression: Simplify the expression further. After canceling out the common factors, we are left with: (1/2)/(x + 6) This is the simplified form of the expression.

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Simplify the expression completely if possible.

(4x^(2))/(8x^(2)+48 x)
Answer:

Simplify the expression completely if possible. $\newline$ $\frac{4 x^{2}}{8 x^{2}+48 x}$ $\newline$ Answer:

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Algebra 2

Sin, cos, and tan of special angles

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Q. Simplify the expression completely if possible.

\newline

\frac{4 x^{2}}{8 x^{2}+48 x}

\newline

Answer:

Factor out common term: Factor out the common term in the denominator. $\newline$ The denominator is $8x^{2} + 48x$ , which has a common factor of $8x$ . Factoring this out, we get: $\newline$ $8x(x + 6)$
Simplify by canceling factors: Simplify the fraction by canceling out common factors. $\newline$ The numerator is $4x^{2}$ , which has a common factor of $4x$ with the denominator (after factoring). Canceling out the common factor of $4x$ from the numerator and $8x$ from the denominator, we get: $\newline$ \[\frac{$4$x^{$2$}}{$8$x(x + $6$)} = \frac{$4$}{$8$}\left(\frac{x}{x}\right)\left(\frac{$1$}{x + $6$}\right) = \frac{$1$}{$2$}\left(\frac{$1$}{x + $6$}\right)
Further simplify expression: Simplify the expression further.$\newline$After canceling out the common factors, we are left with:$\newline$$(\frac{1}{2})/(x + 6)$$\newline$This is the simplified form of the expression.