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