Final answer:
The expression (x²+4x-21)/(x⁽²⁾ +16x+63) simplifies to (x-3)/(x+9).
ExFinal answer:
The expression (x²+4x-21)/(x⁽²⁾ +16x+63) simplifies to (x-3)/(x+9).
Step-by-step explanation:
To simplify the expression (x²+4x-21)/(x⁽²⁾ +16x+63), we can factor both the numerator and denominator. The numerator factors to (x+7)(x-3) and the denominator factors to (x+7)(x+9). We can then cancel out the common factor (x+7), leaving us with (x-3)/(x+9).planation:
To simplify the expression (x²+4x-21)/(x⁽²⁾ +16x+63), we can factor both the numerator and denominator. The numerator factors to (x+7)(x-3) and the denominator factors to (x+7)(x+9). We can then cancel out the common factor (x+7), leaving us with (x-3)/(x+9).