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2a^{2}-6ac+ca-3c^{2}+a\left(2c-a\right)
Apply the distributive property by multiplying each term of 2a+c by each term of a-3c.
2a^{2}-5ac-3c^{2}+a\left(2c-a\right)
Combine -6ac and ca to get -5ac.
2a^{2}-5ac-3c^{2}+2ac-a^{2}
Use the distributive property to multiply a by 2c-a.
2a^{2}-3ac-3c^{2}-a^{2}
Combine -5ac and 2ac to get -3ac.
a^{2}-3ac-3c^{2}
Combine 2a^{2} and -a^{2} to get a^{2}.
2a^{2}-6ac+ca-3c^{2}+a\left(2c-a\right)
Apply the distributive property by multiplying each term of 2a+c by each term of a-3c.
2a^{2}-5ac-3c^{2}+a\left(2c-a\right)
Combine -6ac and ca to get -5ac.
2a^{2}-5ac-3c^{2}+2ac-a^{2}
Use the distributive property to multiply a by 2c-a.
2a^{2}-3ac-3c^{2}-a^{2}
Combine -5ac and 2ac to get -3ac.
a^{2}-3ac-3c^{2}
Combine 2a^{2} and -a^{2} to get a^{2}.