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15c^{2}-24c+20
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15c^{2}-24c+20
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9c^{2}-4+6\left(c^{2}-4c+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(c-2\right)^{2}.
9c^{2}-4+6c^{2}-24c+24
Use the distributive property to multiply 6 by c^{2}-4c+4.
15c^{2}-4-24c+24
Combine 9c^{2} and 6c^{2} to get 15c^{2}.
15c^{2}+20-24c
Add -4 and 24 to get 20.
9c^{2}-4+6\left(c^{2}-4c+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(c-2\right)^{2}.
9c^{2}-4+6c^{2}-24c+24
Use the distributive property to multiply 6 by c^{2}-4c+4.
15c^{2}-4-24c+24
Combine 9c^{2} and 6c^{2} to get 15c^{2}.
15c^{2}+20-24c
Add -4 and 24 to get 20.
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