Coefficient of x^{5} in the product of (1+2x)^{6} (1−x)^{7}

(1+2x)^{6} (1−x) ^{7}

Expanding using Binomial theorem

Now, the coefficient of x^{5 }in the product is

=1×(−21)+12×35+60×(−35)+160×21+240×(−7)+192×1

=−21+420−2100+3360−1680+192

=171

**The coefficient of x**^{5} is 171.