Skip to main content
Evaluate
Tick mark Image
Expand
Tick mark Image
Graph

Similar Problems from Web Search

Share

\frac{2x^{2}+4x+6x+12}{x-1}\times \frac{\left(2x-1\right)\left(x-1\right)}{x+2}
Apply the distributive property by multiplying each term of 2x+6 by each term of x+2.
\frac{2x^{2}+10x+12}{x-1}\times \frac{\left(2x-1\right)\left(x-1\right)}{x+2}
Combine 4x and 6x to get 10x.
\frac{2x^{2}+10x+12}{x-1}\times \frac{2x^{2}-2x-x+1}{x+2}
Apply the distributive property by multiplying each term of 2x-1 by each term of x-1.
\frac{2x^{2}+10x+12}{x-1}\times \frac{2x^{2}-3x+1}{x+2}
Combine -2x and -x to get -3x.
\frac{\left(2x^{2}+10x+12\right)\left(2x^{2}-3x+1\right)}{\left(x-1\right)\left(x+2\right)}
Multiply \frac{2x^{2}+10x+12}{x-1} times \frac{2x^{2}-3x+1}{x+2} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(x-1\right)\left(2x-1\right)\left(x+2\right)\left(x+3\right)}{\left(x-1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
2\left(2x-1\right)\left(x+3\right)
Cancel out \left(x-1\right)\left(x+2\right) in both numerator and denominator.
4x^{2}+10x-6
Expand the expression.
\frac{2x^{2}+4x+6x+12}{x-1}\times \frac{\left(2x-1\right)\left(x-1\right)}{x+2}
Apply the distributive property by multiplying each term of 2x+6 by each term of x+2.
\frac{2x^{2}+10x+12}{x-1}\times \frac{\left(2x-1\right)\left(x-1\right)}{x+2}
Combine 4x and 6x to get 10x.
\frac{2x^{2}+10x+12}{x-1}\times \frac{2x^{2}-2x-x+1}{x+2}
Apply the distributive property by multiplying each term of 2x-1 by each term of x-1.
\frac{2x^{2}+10x+12}{x-1}\times \frac{2x^{2}-3x+1}{x+2}
Combine -2x and -x to get -3x.
\frac{\left(2x^{2}+10x+12\right)\left(2x^{2}-3x+1\right)}{\left(x-1\right)\left(x+2\right)}
Multiply \frac{2x^{2}+10x+12}{x-1} times \frac{2x^{2}-3x+1}{x+2} by multiplying numerator times numerator and denominator times denominator.
\frac{2\left(x-1\right)\left(2x-1\right)\left(x+2\right)\left(x+3\right)}{\left(x-1\right)\left(x+2\right)}
Factor the expressions that are not already factored.
2\left(2x-1\right)\left(x+3\right)
Cancel out \left(x-1\right)\left(x+2\right) in both numerator and denominator.
4x^{2}+10x-6
Expand the expression.