함수와 그래프 전체 문제

In the following exercises, write as equivalent rational expressions with the given LCD.

$\frac{4}{{b}^{2}+6b+9},\frac{2b}{{b}^{2}-2b-15}$ LCD $(b+3)(b+3)(b-5)$

In the following exercises, write as equivalent rational expressions with the given LCD.

$\frac{5}{{c}^{2}-4c+4},\frac{3c}{{c}^{2}-10c+16}$ LCD $(c-2)(c-2)(c-8)$

In the following exercises, write as equivalent rational expressions with the given LCD.

$\frac{2}{3{d}^{2}+14d-5},\frac{5d}{3{d}^{2}-19d+6}$ LCD $(3d-1)(d+5)(d-6)$

In the following exercises, write as equivalent rational expressions with the given LCD.

$\frac{3}{5{m}^{2}-3m-2},\frac{6m}{5{m}^{2}+17m+6}$ LCD $(5m+2)(m-1)(m+3)$

In the following exercises, add.

$\frac{5}{24}+\frac{11}{36}$

In the following exercises, add.

$\frac{7}{30}+\frac{13}{45}$

In the following exercises, add.

$\frac{9}{20}+\frac{11}{30}$

In the following exercises, add.

$\frac{8}{27}+\frac{7}{18}$

In the following exercises, add.

$\frac{7}{10{x}^{2}y}+\frac{4}{15x{y}^{2}}$

In the following exercises, add.

$\frac{1}{12{a}^{3}{b}^{2}}+\frac{5}{9{a}^{2}{b}^{3}}$

In the following exercises, add.

$\frac{1}{2m}+\frac{7}{8{m}^{2}n}$

In the following exercises, add.

$\frac{5}{6{p}^{2}q}+\frac{1}{4p}$

In the following exercises, add.

$\frac{3}{r+4}+\frac{2}{r-5}$

In the following exercises, add.

$\frac{4}{s-7}+\frac{5}{s+3}$

In the following exercises, add.

$\frac{8}{t+5}+\frac{6}{t-5}$

In the following exercises, add.

$\frac{7}{v+5}+\frac{9}{v-5}$

In the following exercises, add.

$\frac{5}{3w-2}+\frac{2}{w+1}$

In the following exercises, add.

$\frac{4}{2x+5}+\frac{2}{x-1}$

In the following exercises, add.

$\frac{2y}{y+3}+\frac{3}{y-1}$

In the following exercises, add.

$\frac{3z}{z-2}+\frac{1}{z+5}$