Evaluate
\left(a+b\right)^{2}-c^{2}
Expand
a^{2}+2ab+b^{2}-c^{2}
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\left(a+b+c\right)\left(a+b-c\right)
Use the distributive property to multiply 1 by a+b+c.
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}+2ab-ac+b^{2}-bc+ca+cb-c^{2}
Combine ab and ba to get 2ab.
a^{2}+2ab+b^{2}-bc+cb-c^{2}
Combine -ac and ca to get 0.
a^{2}+2ab+b^{2}-c^{2}
Combine -bc and cb to get 0.
\left(a+b+c\right)\left(a+b-c\right)
Use the distributive property to multiply 1 by a+b+c.
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}+2ab-ac+b^{2}-bc+ca+cb-c^{2}
Combine ab and ba to get 2ab.
a^{2}+2ab+b^{2}-bc+cb-c^{2}
Combine -ac and ca to get 0.
a^{2}+2ab+b^{2}-c^{2}
Combine -bc and cb to get 0.
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}