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2x^{7}+3x^{6}+6x^{5}+14x^{4}-62x^{3}-72x^{2}-99x-170+55x^{3}+76x^{2}+85x+74
Use the distributive property to multiply x^{4}-x^{2}-x^{3}-x-5 by 2x^{3}+5x^{2}+13x+34 and combine like terms.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}-72x^{2}-99x-170+76x^{2}+85x+74
Combine -62x^{3} and 55x^{3} to get -7x^{3}.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}+4x^{2}-99x-170+85x+74
Combine -72x^{2} and 76x^{2} to get 4x^{2}.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}+4x^{2}-14x-170+74
Combine -99x and 85x to get -14x.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}+4x^{2}-14x-96
Add -170 and 74 to get -96.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-62x^{3}-72x^{2}-99x-170+55x^{3}+76x^{2}+85x+74
Use the distributive property to multiply x^{4}-x^{2}-x^{3}-x-5 by 2x^{3}+5x^{2}+13x+34 and combine like terms.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}-72x^{2}-99x-170+76x^{2}+85x+74
Combine -62x^{3} and 55x^{3} to get -7x^{3}.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}+4x^{2}-99x-170+85x+74
Combine -72x^{2} and 76x^{2} to get 4x^{2}.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}+4x^{2}-14x-170+74
Combine -99x and 85x to get -14x.
2x^{7}+3x^{6}+6x^{5}+14x^{4}-7x^{3}+4x^{2}-14x-96
Add -170 and 74 to get -96.