Question

1.Descompuneti in factori: 1.[x la putere a 2-x][x la puterea a 2-x-2]+1; 2.[x la puterea a 2+x][x la putere a 2+x+4]+4; 3.[x la puterea a 2+5x][x la puterea a 2+5x-4]+4; 4.[x la puterea a 2-7x][x la puterea a 2-7x-6]+9.

Answer 1

1)(x²-x)(x²-x-2)+1=
x⁴-x³-2x²-x³+x²+2x+1=
x⁴-2x³-x²+2x+1

2)(x²+x)(x²+x+4)+4=
x⁴+x³+4x²+x³+x²+4x+4=
x⁴+2x³+5x²+4x+4

3)(x²+5x)(x²+5x-4)+4=
x⁴+5x³-4x²+5x³+25x²-20x+4=
x⁴+10x³+21x²-20x+4

4)(x²-7x)(x²-7x-6)+9=
x⁴-7x³-6x²-7x³+49x²+42x+9=
x⁴-14x³+43x²+42x+9