Evaluate
\left(a-3b\right)^{2}-4c^{2}
Expand
a^{2}-6ab+9b^{2}-4c^{2}
Share
Copied to clipboard
a^{2}-3ab+2ac-3ba+9b^{2}-6bc-2ca+6cb-4c^{2}
Apply the distributive property by multiplying each term of a-3b-2c by each term of a-3b+2c.
a^{2}-6ab+2ac+9b^{2}-6bc-2ca+6cb-4c^{2}
Combine -3ab and -3ba to get -6ab.
a^{2}-6ab+9b^{2}-6bc+6cb-4c^{2}
Combine 2ac and -2ca to get 0.
a^{2}-6ab+9b^{2}-4c^{2}
Combine -6bc and 6cb to get 0.
a^{2}-3ab+2ac-3ba+9b^{2}-6bc-2ca+6cb-4c^{2}
Apply the distributive property by multiplying each term of a-3b-2c by each term of a-3b+2c.
a^{2}-6ab+2ac+9b^{2}-6bc-2ca+6cb-4c^{2}
Combine -3ab and -3ba to get -6ab.
a^{2}-6ab+9b^{2}-6bc+6cb-4c^{2}
Combine 2ac and -2ca to get 0.
a^{2}-6ab+9b^{2}-4c^{2}
Combine -6bc and 6cb 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}