Chapter 8: Q 8.82 (page 946)

Add: $\frac{5}{16 c} + \frac{3}{8 c d^{2}}$

Short Answer

Expert verified

The Addition of rational expressions is $\frac{5 d^{2} + 6}{16 c d^{2}}$ .

Step by step solution

Given information

The given rational expressions

\frac{5}{16 c} + \frac{3}{8 c d^{2}}

Addition of rational expression is

$16 c = 2 \times 2 \times 2 \times 2 \times c 8 c d^{2} = 2 \times 2 \times 2 \times c \times d \times d The LCD is 16 c d^{2} Rewrite each rational expression as an equivalent fraction with the LCD . = \frac{5 \times d^{2}}{16 c \times d^{2}} + \frac{3 \times 2}{8 {cd}^{2} \times 2} = \frac{5 d^{2}}{16 {cd}^{2}} + \frac{6}{16 {cd}^{2}} = \frac{5 d^{2} + 6}{16 {cd}^{2}}$

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Add: $\frac{5}{16 c} + \frac{3}{8 c d^{2}}$

Short Answer

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Addition of rational expression is

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Addition of rational expression is

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Add: $\frac{5}{16 c} + \frac{3}{8 c d^{2}}$