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12m+1
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12m+1
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4m^{2}+12m+9-4\left(m^{2}+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+3\right)^{2}.
4m^{2}+12m+9-4m^{2}-8
Use the distributive property to multiply -4 by m^{2}+2.
12m+9-8
Combine 4m^{2} and -4m^{2} to get 0.
12m+1
Subtract 8 from 9 to get 1.
4m^{2}+12m+9-4\left(m^{2}+2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2m+3\right)^{2}.
4m^{2}+12m+9-4m^{2}-8
Use the distributive property to multiply -4 by m^{2}+2.
12m+9-8
Combine 4m^{2} and -4m^{2} to get 0.
12m+1
Subtract 8 from 9 to get 1.
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Limits
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