Evaluate
\left(a-3b\right)^{2}-25c^{2}
Expand
a^{2}-6ab+9b^{2}-25c^{2}
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a^{2}-3ab-5ac-3ba+9b^{2}+15bc+5ca-15cb-25c^{2}
Apply the distributive property by multiplying each term of a-3b+5c by each term of a-3b-5c.
a^{2}-6ab-5ac+9b^{2}+15bc+5ca-15cb-25c^{2}
Combine -3ab and -3ba to get -6ab.
a^{2}-6ab+9b^{2}+15bc-15cb-25c^{2}
Combine -5ac and 5ca to get 0.
a^{2}-6ab+9b^{2}-25c^{2}
Combine 15bc and -15cb to get 0.
a^{2}-3ab-5ac-3ba+9b^{2}+15bc+5ca-15cb-25c^{2}
Apply the distributive property by multiplying each term of a-3b+5c by each term of a-3b-5c.
a^{2}-6ab-5ac+9b^{2}+15bc+5ca-15cb-25c^{2}
Combine -3ab and -3ba to get -6ab.
a^{2}-6ab+9b^{2}+15bc-15cb-25c^{2}
Combine -5ac and 5ca to get 0.
a^{2}-6ab+9b^{2}-25c^{2}
Combine 15bc and -15cb to get 0.
Examples
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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