Evaluate
\left(3c-2a\right)^{2}-25b^{2}
Expand
4a^{2}-12ac-25b^{2}+9c^{2}
Share
Copied to clipboard
-6ac+4a^{2}-10ab-15bc+10ba-25b^{2}+9c^{2}-6ac+15cb
Apply the distributive property by multiplying each term of -2a-5b+3c by each term of 3c-2a+5b.
-6ac+4a^{2}-15bc-25b^{2}+9c^{2}-6ac+15cb
Combine -10ab and 10ba to get 0.
-12ac+4a^{2}-15bc-25b^{2}+9c^{2}+15cb
Combine -6ac and -6ac to get -12ac.
-12ac+4a^{2}-25b^{2}+9c^{2}
Combine -15bc and 15cb to get 0.
-6ac+4a^{2}-10ab-15bc+10ba-25b^{2}+9c^{2}-6ac+15cb
Apply the distributive property by multiplying each term of -2a-5b+3c by each term of 3c-2a+5b.
-6ac+4a^{2}-15bc-25b^{2}+9c^{2}-6ac+15cb
Combine -10ab and 10ba to get 0.
-12ac+4a^{2}-15bc-25b^{2}+9c^{2}+15cb
Combine -6ac and -6ac to get -12ac.
-12ac+4a^{2}-25b^{2}+9c^{2}
Combine -15bc and 15cb 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}