Evaluate
\frac{7}{2b\left(4a+3b\right)}
Expand
\frac{7}{2b\left(4a+3b\right)}
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\frac{7a}{\left(4a+3b\right)^{2}}\times \frac{3\left(4a+3b\right)}{6ab}
Factor the expressions that are not already factored in \frac{12a+9b}{6ab}.
\frac{7a}{\left(4a+3b\right)^{2}}\times \frac{4a+3b}{2ab}
Cancel out 3 in both numerator and denominator.
\frac{7a\left(4a+3b\right)}{\left(4a+3b\right)^{2}\times 2ab}
Multiply \frac{7a}{\left(4a+3b\right)^{2}} times \frac{4a+3b}{2ab} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{2b\left(4a+3b\right)}
Cancel out a\left(4a+3b\right) in both numerator and denominator.
\frac{7}{8ba+6b^{2}}
Use the distributive property to multiply 2b by 4a+3b.
\frac{7a}{\left(4a+3b\right)^{2}}\times \frac{3\left(4a+3b\right)}{6ab}
Factor the expressions that are not already factored in \frac{12a+9b}{6ab}.
\frac{7a}{\left(4a+3b\right)^{2}}\times \frac{4a+3b}{2ab}
Cancel out 3 in both numerator and denominator.
\frac{7a\left(4a+3b\right)}{\left(4a+3b\right)^{2}\times 2ab}
Multiply \frac{7a}{\left(4a+3b\right)^{2}} times \frac{4a+3b}{2ab} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{2b\left(4a+3b\right)}
Cancel out a\left(4a+3b\right) in both numerator and denominator.
\frac{7}{8ba+6b^{2}}
Use the distributive property to multiply 2b by 4a+3b.
Examples
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{ 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}