Răspuns:
Explicație pas cu pas:
1) a) 4x²+8x = 4x(x+2)
b) 6x²+2x = 2x(3x+1)
c) 9x²-3x = 3x(3x-1)
d) 10x³-5x² = 5x²(2x-1)
e) 14x³+2x² = 2x²(7x+1)
f) 15x³+3x² = 3x²(5x+1)
g) 21x⁵-14x³ = 7x³(3x²-2)
h) 24x⁵+16x³ = 8x³(3x²+2)
i) 30x⁵-24x² = 6x²(5x³-4)
3) a) (x+1)(x-5)+(x+1)5 = (x+1)(x-5+5) = x(x+1)
b) (x-2)(x+3) - 2(x+3) = (x+3)(x-2-2) = (x+3)(x-4)
c) (x-4)(x+6)-3(x-4) = (x-4)(x+6-3) = (x-4)(x+3)
d) (x+5)(x+7) +6(x+7) = (x+7)(x+5+6) = (x+7)(x+11)