Đáp án:
₶₶₶₶₶₶₶₶₶
Giải thích các bước giải:
c) (x² +1)² - 4x²
= (x²+1)²-(2x)²
= (x²+1-2x)(x²+1+2x)
= (x²-2x+1)(x²+2x+1)
= (x-1)²(x+1)²
= [(x-1)(x+1)]²
= (x²-1)²
d) x² - 4xy +4y² - z² +4zt - 4t²
= [x² - 4xy +(2y)²] - [z² -4zt + (2t)²]
= (x-2y)²-(z-2t)²
= [(x-2y)-(z-2t)].[(x-2y)+(z-2t)]
= (x-2y-z+2t)(x-2y+z-2t)
e) x² +2x - 15
= (x²+2x+1)-16
= (x+1)²-4²
= (x+1-4)(x+1+4)
= (x-3)(x+5)
f) x³ - x + 3x²y + 3xy² - y + y³
= (x³+3x²y+3xy²+y³)-(x+y)
= (x+y)³-(x+y)
= (x+y).[(x+y)²-1]