Evaluate
\frac{b-7}{b}
Expand
\frac{b-7}{b}
Share
Copied to clipboard
\frac{\left(b^{2}-11b+28\right)\left(b^{2}-4b-32\right)}{\left(b^{2}-12b+32\right)\left(b^{2}+4b\right)}
Divide \frac{b^{2}-11b+28}{b^{2}-12b+32} by \frac{b^{2}+4b}{b^{2}-4b-32} by multiplying \frac{b^{2}-11b+28}{b^{2}-12b+32} by the reciprocal of \frac{b^{2}+4b}{b^{2}-4b-32}.
\frac{\left(b-8\right)\left(b-7\right)\left(b-4\right)\left(b+4\right)}{b\left(b-8\right)\left(b-4\right)\left(b+4\right)}
Factor the expressions that are not already factored.
\frac{b-7}{b}
Cancel out \left(b-8\right)\left(b-4\right)\left(b+4\right) in both numerator and denominator.
\frac{\left(b^{2}-11b+28\right)\left(b^{2}-4b-32\right)}{\left(b^{2}-12b+32\right)\left(b^{2}+4b\right)}
Divide \frac{b^{2}-11b+28}{b^{2}-12b+32} by \frac{b^{2}+4b}{b^{2}-4b-32} by multiplying \frac{b^{2}-11b+28}{b^{2}-12b+32} by the reciprocal of \frac{b^{2}+4b}{b^{2}-4b-32}.
\frac{\left(b-8\right)\left(b-7\right)\left(b-4\right)\left(b+4\right)}{b\left(b-8\right)\left(b-4\right)\left(b+4\right)}
Factor the expressions that are not already factored.
\frac{b-7}{b}
Cancel out \left(b-8\right)\left(b-4\right)\left(b+4\right) in both numerator and denominator.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}