Evaluate
\left(t-1\right)\left(t+7\right)
Expand
t^{2}+6t-7
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t^{2}+6t+9-16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(t+3\right)^{2}.
t^{2}+6t-7
Subtract 16 from 9 to get -7.
t^{2}+6t+9-16
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(t+3\right)^{2}.
t^{2}+6t-7
Subtract 16 from 9 to get -7.
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