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19t^{2}-51t+27
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19t^{2}-51t+27
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25t^{2}-50t+25+\left(2t-1\right)\left(-3t-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-5t+5\right)^{2}.
25t^{2}-50t+25-6t^{2}-t+2
Use the distributive property to multiply 2t-1 by -3t-2 and combine like terms.
19t^{2}-50t+25-t+2
Combine 25t^{2} and -6t^{2} to get 19t^{2}.
19t^{2}-51t+25+2
Combine -50t and -t to get -51t.
19t^{2}-51t+27
Add 25 and 2 to get 27.
25t^{2}-50t+25+\left(2t-1\right)\left(-3t-2\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(-5t+5\right)^{2}.
25t^{2}-50t+25-6t^{2}-t+2
Use the distributive property to multiply 2t-1 by -3t-2 and combine like terms.
19t^{2}-50t+25-t+2
Combine 25t^{2} and -6t^{2} to get 19t^{2}.
19t^{2}-51t+25+2
Combine -50t and -t to get -51t.
19t^{2}-51t+27
Add 25 and 2 to get 27.
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