Răspuns:
Explicație pas cu pas:
a) 4x²+4x-35 = 4x²+14x-10x-35 = 2x(2x+7)-5(2x+7) = (2x+7)(2x-5)
b) 9x²+12x-45 = 9x²+27x-15x-45 = 9x(x+3)-15(x+3) = 3(x+3)(3x-5)
c) 4x²+20x-11 = 4x²+22x-2x-11 = 2x(2x+11)-(2x+11) = (2x+11)(2x-1)
d) 9x²+24x-33 = 9x²+33x-9x-33 = 3x(3x+11)-3(3x+11) = 3(3x+11)(x-1)
e) 4x²+12x-16 = 4x²+16x-4x-16 = 4x(x+4)-4(x+4) = 4(x+4)(x-1)
f) 9x²-12x-21 = 9x²-21x+9x-21 = 3x(3x-7)-3(3x-7) = 3(3x-7)(x-1)
g) 16x²+24x-40 = 8(2x²+3x-5) = 8(2x²+5x-2x-5) = 8[x(2x+5)-(2x+5)]=
= 8(2x+5)(x-1)
h) 25x²-40x-20 = 5(5x²-8x-4) = 5(5x²+2x-10x-4) =
5[x(5x+2)-2(5x+2)] = 5(5x+2)(x-2)