Evaluate
7\left(\left(a+b\right)^{2}-c^{2}\right)
Expand
7a^{2}+14ab+7b^{2}-7c^{2}
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\left(7a+7b+7c\right)\left(a+b-c\right)
Use the distributive property to multiply 7 by a+b+c.
7a^{2}+7ab-7ac+7ba+7b^{2}-7bc+7ca+7cb-7c^{2}
Apply the distributive property by multiplying each term of 7a+7b+7c by each term of a+b-c.
7a^{2}+14ab-7ac+7b^{2}-7bc+7ca+7cb-7c^{2}
Combine 7ab and 7ba to get 14ab.
7a^{2}+14ab+7b^{2}-7bc+7cb-7c^{2}
Combine -7ac and 7ca to get 0.
7a^{2}+14ab+7b^{2}-7c^{2}
Combine -7bc and 7cb to get 0.
\left(7a+7b+7c\right)\left(a+b-c\right)
Use the distributive property to multiply 7 by a+b+c.
7a^{2}+7ab-7ac+7ba+7b^{2}-7bc+7ca+7cb-7c^{2}
Apply the distributive property by multiplying each term of 7a+7b+7c by each term of a+b-c.
7a^{2}+14ab-7ac+7b^{2}-7bc+7ca+7cb-7c^{2}
Combine 7ab and 7ba to get 14ab.
7a^{2}+14ab+7b^{2}-7bc+7cb-7c^{2}
Combine -7ac and 7ca to get 0.
7a^{2}+14ab+7b^{2}-7c^{2}
Combine -7bc and 7cb to get 0.
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Simultaneous equation
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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