লঘিষ্ঠ আকারে প্রকাশ কর

$$\frac{a^2 b}{a^3 c} = \frac{a^2 \times b}{a^2 \times a \times c} = \frac{b}{a c}$$

​

$$\frac{a^2 bc}{ab^2 c} = \frac{a \times a \times b \times c}{a \times b \times b \times c} = \frac{a}{b}$$

$$\begin{gathered} \frac{x^3{y}^3{z}^3}{x^2{y}^2{z}^2} \\ =\frac{x\times x^2\times y\times y^2\times z\times z^2}{x^2\times y^2\times z^2}=xyz \end{gathered}$$

$$\begin{gathered} \frac{x^2+x}{xy+y} \\ =\frac{x(x+1)}{y(x+1)}=\frac{x}{y} \end{gathered}$$

$$\frac{4a^2 b}{6a^3 b} = \frac{2 \times 2a^2 \times b}{3a \times 2a^2 \times b} = \frac{2}{3a}$$

$$\begin{gathered} \frac{2a-4ab}{1-4b^2} \\ =\frac{2a-4ab}{1-(2b{)}^2}=\frac{2a(1-2b)}{(1+2b)(1-2b)}=\frac{2a}{1+2b} \end{gathered}$$

$$\begin{gathered} \frac{2a+3b}{4a^2-9b^2} \\ =\frac{2a+3b}{(2a{)}^2-(3b{)}^2}=\frac{\left(2a+3b\right)}{(2a+3b)(2a-3b)}=\frac{1}{2a-3b} \end{gathered}$$

$$\begin{gathered} \frac{a^2+4a+4}{a^2-4} \\ =\frac{a^2+2a+2a+4}{a^2-4} \\ =\frac{a(a+2)+2(a+2)}{a^2-(2{)}^2}=\frac{(a+2)(a+2)}{(a+2)(a-2)}=\frac{a+2}{a-2} \end{gathered}$$

$$\frac{x^2 - y^2}{(x + y)^2} = \frac{(x + y)(x - y)}{(x + y)(x + y)} = \frac{x - y}{x + y}$$

$$\begin{gathered} \frac{x^2+2x-15}{x^2+9x+20} \\ =\frac{x^2+5x-3x-15}{x^2+5x+4x+20} \\ =\frac{x(x+5)-3(x+5)}{x(x+5)+4(x+5)} \\ =\frac{(x+5)(x-3)}{(x+5)(x+4)}=\frac{x-3}{x+4} \end{gathered}$$