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a^{4}-9a^{3}+7a+27-a^{3}-15a^{2}+75a+75
Use the distributive property to multiply a^{3}-9a^{2}+7 by a.
a^{4}-10a^{3}+7a+27-15a^{2}+75a+75
Combine -9a^{3} and -a^{3} to get -10a^{3}.
a^{4}-10a^{3}+82a+27-15a^{2}+75
Combine 7a and 75a to get 82a.
a^{4}-10a^{3}+82a+102-15a^{2}
Add 27 and 75 to get 102.
a^{4}-9a^{3}+7a+27-a^{3}-15a^{2}+75a+75
Use the distributive property to multiply a^{3}-9a^{2}+7 by a.
a^{4}-10a^{3}+7a+27-15a^{2}+75a+75
Combine -9a^{3} and -a^{3} to get -10a^{3}.
a^{4}-10a^{3}+82a+27-15a^{2}+75
Combine 7a and 75a to get 82a.
a^{4}-10a^{3}+82a+102-15a^{2}
Add 27 and 75 to get 102.