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48n
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16n^{2}+24n+9-\left(4n-3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4n+3\right)^{2}.
16n^{2}+24n+9-\left(16n^{2}-24n+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4n-3\right)^{2}.
16n^{2}+24n+9-16n^{2}+24n-9
To find the opposite of 16n^{2}-24n+9, find the opposite of each term.
24n+9+24n-9
Combine 16n^{2} and -16n^{2} to get 0.
48n+9-9
Combine 24n and 24n to get 48n.
48n
Subtract 9 from 9 to get 0.
16n^{2}+24n+9-\left(4n-3\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4n+3\right)^{2}.
16n^{2}+24n+9-\left(16n^{2}-24n+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(4n-3\right)^{2}.
16n^{2}+24n+9-16n^{2}+24n-9
To find the opposite of 16n^{2}-24n+9, find the opposite of each term.
24n+9+24n-9
Combine 16n^{2} and -16n^{2} to get 0.
48n+9-9
Combine 24n and 24n to get 48n.
48n
Subtract 9 from 9 to get 0.
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Limits
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