Question

PRECISANDO DE AJUDA!! OBRIGADA!!

Qual a forma fatorada das expressões:
a) 16 +40x+25x²
b) x⁸-2x⁴+1
c) x² -121p⁸
d) 3x² -12

Answer 1

a) 16 +40x+25x² = (4+5x)²
b) x⁸-2x⁴+1 = (x⁴-1)²
c) x² -121p⁸ =(x + 11p⁴)(x - 11p⁴)
d) 3x² -12 = 3(x² - 4) = 3(x+2)(x-2)

Answer 2

$a) \\ 16 +40x+25x^2 \\ \\ \\ -> (5x + 4)^2 \\ \\ \\ b) \\ x^8-2x^4+1 \\ \\ (x + 1)^4 * (x^2 + 1)^2 \\ \\ \\ => (x + 1)^2 * x + 1)^2 * (x^2 + 1)^2 \\ \\ \\ c) \\ x^2-121p^8 \\ \\ (x - 11 p^4)*(x +11 p^4) \\ \\ \\ d) \\ 3x^2-12 \\ \\ 3(x - 2) * (x + 2)$