Evaluate
b\left(-23b+2c-5\right)
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-23b^{2}+2bc-5b
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-8b^{2}-10bc+16b+3b\left(-5b+4c-7\right)
Use the distributive property to multiply -2b by 4b+5c-8.
-8b^{2}-10bc+16b-15b^{2}+12bc-21b
Use the distributive property to multiply 3b by -5b+4c-7.
-23b^{2}-10bc+16b+12bc-21b
Combine -8b^{2} and -15b^{2} to get -23b^{2}.
-23b^{2}+2bc+16b-21b
Combine -10bc and 12bc to get 2bc.
-23b^{2}+2bc-5b
Combine 16b and -21b to get -5b.
-8b^{2}-10bc+16b+3b\left(-5b+4c-7\right)
Use the distributive property to multiply -2b by 4b+5c-8.
-8b^{2}-10bc+16b-15b^{2}+12bc-21b
Use the distributive property to multiply 3b by -5b+4c-7.
-23b^{2}-10bc+16b+12bc-21b
Combine -8b^{2} and -15b^{2} to get -23b^{2}.
-23b^{2}+2bc+16b-21b
Combine -10bc and 12bc to get 2bc.
-23b^{2}+2bc-5b
Combine 16b and -21b to get -5b.
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}