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4t^{2}-23t+37
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4t^{2}-23t+37
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4\left(t^{2}-4t+4\right)-7\left(t-2\right)+7
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(t-2\right)^{2}.
4t^{2}-16t+16-7\left(t-2\right)+7
Use the distributive property to multiply 4 by t^{2}-4t+4.
4t^{2}-16t+16-7t+14+7
Use the distributive property to multiply -7 by t-2.
4t^{2}-23t+16+14+7
Combine -16t and -7t to get -23t.
4t^{2}-23t+30+7
Add 16 and 14 to get 30.
4t^{2}-23t+37
Add 30 and 7 to get 37.
4\left(t^{2}-4t+4\right)-7\left(t-2\right)+7
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(t-2\right)^{2}.
4t^{2}-16t+16-7\left(t-2\right)+7
Use the distributive property to multiply 4 by t^{2}-4t+4.
4t^{2}-16t+16-7t+14+7
Use the distributive property to multiply -7 by t-2.
4t^{2}-23t+16+14+7
Combine -16t and -7t to get -23t.
4t^{2}-23t+30+7
Add 16 and 14 to get 30.
4t^{2}-23t+37
Add 30 and 7 to get 37.
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