n) 81x2 - 6yz - 9y2 - z2 m) xz-yz-x2+2xy-y2 p) x2 + 8x + 15 k) 81x4 + 4
2 câu trả lời
Đáp án+Giải thích các bước giải:
n)81x2-6yz-9y2-z2=81x2-(6yz+9y2+z2)=(9x)2-(z+3y)2=(9x-z-3y)(9x+z+3y)
m)xz-yz-x2+2xy-y2=(-x2+2xy-y2)+(xz-yz)=-(x2-2xy+y2)+z(x-y)=-(x-y)2+z(x-y)=z(x-y)-(x-y)2=(x-y)(z-x-y)
p)x2+8x+15=x2+3x+5x+15=(x2+3x)+(5x+15)=x(x+3)+5(x+3)=(x+3)(x+5)
k)81x4+4=(9x2)2+36x2+4-36x2=(9x2+2-6x)(9x2+2+6x)
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