Evaluate
-\left(-b-c\right)^{2}+a^{2}
Expand
a^{2}-b^{2}-2bc-c^{2}
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a^{2}+ab+ac-ba-b^{2}-bc-ca-cb-c^{2}
Apply the distributive property by multiplying each term of a-b-c by each term of a+b+c.
a^{2}+ac-b^{2}-bc-ca-cb-c^{2}
Combine ab and -ba to get 0.
a^{2}-b^{2}-bc-cb-c^{2}
Combine ac and -ca to get 0.
a^{2}-b^{2}-2bc-c^{2}
Combine -bc and -cb to get -2bc.
a^{2}+ab+ac-ba-b^{2}-bc-ca-cb-c^{2}
Apply the distributive property by multiplying each term of a-b-c by each term of a+b+c.
a^{2}+ac-b^{2}-bc-ca-cb-c^{2}
Combine ab and -ba to get 0.
a^{2}-b^{2}-bc-cb-c^{2}
Combine ac and -ca to get 0.
a^{2}-b^{2}-2bc-c^{2}
Combine -bc and -cb to get -2bc.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Matrix
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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
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