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\left(7x^{5}+10x^{5}\right)\left(6x^{5}+2x^{5}-8x^{5}\right)
Combine 5x^{5} and 2x^{5} to get 7x^{5}.
17x^{5}\left(6x^{5}+2x^{5}-8x^{5}\right)
Combine 7x^{5} and 10x^{5} to get 17x^{5}.
17x^{5}\left(8x^{5}-8x^{5}\right)
Combine 6x^{5} and 2x^{5} to get 8x^{5}.
17x^{5}\times 0
Combine 8x^{5} and -8x^{5} to get 0.
0x^{5}
Multiply 17 and 0 to get 0.
0
Anything times zero gives zero.