Question

Answer 1

a: \(2x\left(3-x\right)+2x^2\)

\(=6x-2x^2+2x^2\)

=6x

b: \(\left(x-3\right)^2+\left(x-6\right)\left(2-x\right)\)

\(=x^2-6x+9+2x-x^2-12+6x\)

=-6x+2x+6x+9-12

=2x-3

c: \(\frac{3x-4}{2x+3}+\frac{x+10}{2x+3}\)

\(=\frac{3x-4+x+10}{2x+3}\)

\(=\frac{4x+6}{2x+3}=2\)

d: \(\frac{6}{x-2}-\frac{12}{x\left(x-2\right)}-\frac{7}{x}\)

\(=\frac{6x-12}{x\left(x-2\right)}-\frac{7}{x}\)

\(=\frac{6}{x}-\frac{7}{x}=-\frac{1}{x}\)