Evaluate
320+400k^{2}-80b^{2}
Expand
320+400k^{2}-80b^{2}
Quiz
Algebra
5 problems similar to:
100 k ^ { 2 } b ^ { 2 } - 4 ( 5 k ^ { 2 } + 4 ) ( 5 b ^ { 2 } - 20 )
Share
Copied to clipboard
100k^{2}b^{2}-4\left(5k^{2}+4\right)\left(5b^{2}-20\right)
Multiply -1 and 4 to get -4.
100k^{2}b^{2}+\left(-20k^{2}-16\right)\left(5b^{2}-20\right)
Use the distributive property to multiply -4 by 5k^{2}+4.
100k^{2}b^{2}-100k^{2}b^{2}+400k^{2}-80b^{2}+320
Use the distributive property to multiply -20k^{2}-16 by 5b^{2}-20.
400k^{2}-80b^{2}+320
Combine 100k^{2}b^{2} and -100k^{2}b^{2} to get 0.
100k^{2}b^{2}-4\left(5k^{2}+4\right)\left(5b^{2}-20\right)
Multiply -1 and 4 to get -4.
100k^{2}b^{2}+\left(-20k^{2}-16\right)\left(5b^{2}-20\right)
Use the distributive property to multiply -4 by 5k^{2}+4.
100k^{2}b^{2}-100k^{2}b^{2}+400k^{2}-80b^{2}+320
Use the distributive property to multiply -20k^{2}-16 by 5b^{2}-20.
400k^{2}-80b^{2}+320
Combine 100k^{2}b^{2} and -100k^{2}b^{2} to get 0.
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}