Đáp án:a, x2−2x−15x2-2x-15
=x2+3x−5x−15=x2+3x-5x-15
=x(x+3)−5(x+3)=x(x+3)-5(x+3)
=(x−5)(x+3)=(x-5)(x+3)
b, y(x−z)+7(z−x)y(x-z)+7(z-x)
=y(x−z)−7(x−z)=y(x-z)-7(x-z)
=(y−7)(x−z)=(y-7)(x-z)
c, 27x2(y−1)−9x3(1−y)27x2(y-1)-9x3(1-y)
=27x2(y−1)+9x3(y−1)=27x2(y-1)+9x3(y-1)
=9x2(y−1)(3+x)=9x2(y-1)(3+x)
d, 36−12x+x236-12x+x2
=x2−2.x.6+62=x2-2.x.6+62
=(x−6)2=(x-6)2
e, x4+64x4+64
=x4+16x2+64−16x2=x4+16x2+64-16x2
=(x2+8)2−(4x)2=(x2+8)2-(4x)2
=(x2−4x+8)(x2+4x+8)=(x2-4x+8)(x2+4x+8)
f, −4x2+4x−1-4x2+4x-1
=−(4x2−4x+1)=-(4x2-4x+1)
=−(2x− 1)2
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