Multiply and simplify x 13 middot x 15 x3 1x5 1 x8 1 x1

Multiply and simplify (x + 1)^3 middot (x + 1)^5. (x^3 + 1)(x^5 + 1) x^8 + 1 x^15 + 1 x^8 + x^5 + x^3 + 1 (x + 1)^8

Solution

12. We know that a^m*aⁿ = a^m+n. In this identity, if we replace a by (x+1), m by 3 and n by 5, we get (x+1)³. (x+1)⁵ = (x+1)³⁺⁵ = (x+1)⁸. The last option is the correct answer.

13. x⁵ = x².x³