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24uv
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24uv
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4u^{2}+12uv+9v^{2}-\left(2u-3v\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2u+3v\right)^{2}.
4u^{2}+12uv+9v^{2}-\left(4u^{2}-12uv+9v^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2u-3v\right)^{2}.
4u^{2}+12uv+9v^{2}-4u^{2}+12uv-9v^{2}
To find the opposite of 4u^{2}-12uv+9v^{2}, find the opposite of each term.
12uv+9v^{2}+12uv-9v^{2}
Combine 4u^{2} and -4u^{2} to get 0.
24uv+9v^{2}-9v^{2}
Combine 12uv and 12uv to get 24uv.
24uv
Combine 9v^{2} and -9v^{2} to get 0.
4u^{2}+12uv+9v^{2}-\left(2u-3v\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2u+3v\right)^{2}.
4u^{2}+12uv+9v^{2}-\left(4u^{2}-12uv+9v^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2u-3v\right)^{2}.
4u^{2}+12uv+9v^{2}-4u^{2}+12uv-9v^{2}
To find the opposite of 4u^{2}-12uv+9v^{2}, find the opposite of each term.
12uv+9v^{2}+12uv-9v^{2}
Combine 4u^{2} and -4u^{2} to get 0.
24uv+9v^{2}-9v^{2}
Combine 12uv and 12uv to get 24uv.
24uv
Combine 9v^{2} and -9v^{2} to get 0.
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Integration
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Limits
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