Question

Answer 1

a: \(\frac{2x+2y}{5x+5y}\)

\(=\frac{2\left(x+y\right)}{5\left(x+y\right)}=\frac25\)

b: \(\frac{x^2-6x+9}{x^2-3x}\)

\(=\frac{\left(x-3\right)^2}{x\left(x-3\right)}\)

\(=\frac{x-3}{x}\)

c: \(\frac{x^2-3xy+x-3y}{x^2-1}\)

\(=\frac{x\left(x-3y\right)+\left(x-3y\right)}{\left(x-1\right)\left(x+1\right)}\)

\(=\frac{\left(x-3y\right)\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}=\frac{x-3y}{x-1}\)