Question

Qual o MMC e o MDC desses polinomios:
a) x²-y², x²-2xy+y²
b) x²-9, x²+6x+9
c) x+5, x²-25

Answer 1

$a) \\ x^2-y^2=(x+y)(x-y) \\ x^2-2xy+y^2=(x-y)^2 \\ \\ MMC=(x+y)(x-y)^2 \\ MDC=(x-y) \\ \\ b) \\ x^2-9=(x+3)(x-3) \\ x^2+6x+9=(x+3)^2 \\ \\ MMC=(x-3)(x+3)^2 \\ MDC=(x+3) \\ \\ c) \\ x+5=x+5 \\ x^2-25=(x+5)(x-5) \\ \\ MMC=(x+5)(x-5) \\ MDC+(x+5)$