phân tích đa thức

N

nhuquynhdat

a)$ x^4+x^2+1=x^4+2x^2+1-x^2=(x^2+1)^2+x^2=(x^2+x+1)(x^2-x+1)$

b) $x^4+4y^4=x^4+4x^2y^2+4y^4-4x^2y^2=(x^2+2y^2)^2-4x^2y^2=(x^2-2xy+2y^2)(x^2+2xy+2y^2)$

c) $x^4+64=x^4+16x^2+64-16x^2=(x^2+8)^2-16x^2=(x^2+4x+8)(x^2-4x+8)$
 
S

soccan

$d)4(x+5)(x+6)(x+10)(x+12)-3x^2\\
=4(x^2+17x+60)(x^2+16x+60)-3x^2$
đặt $x^2+16x+60=t\\
...$
 
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