Đáp án:
a/ x²-2x=x(x-2)
b/(x+1)²-25
=(x+1)²-5²
=(x+1-5)(x+1+5)=(x-4)(x+6)
c/x²-5x+6
=(x²-3x)-(2x+6)
=x(x-3)-2(x-3)
=(x-3)(x-2)
d/8-27x³
=2³-(3x)³
=(2-3x)(4+2x+9x²)
e/ 1-2y +y²
=(1-y)²
f/ 27+27x+9x²+x³
=(3+x)³
g/ 8x³-12x²y+6xy²-y³
=(2x-y)³
h/ x³+8y³
=x³+(2y)³
=(x+2y)(x²-2xy+4y²)
i/ 3x²-6x+9x²
=3x(x-2+3x)
=3x(4x-2)
=3x.2(2x-1)
=6x(2x-1)
j/ 10x(x-y)-6y(y-x)
=10x(x-y)+6y(x-y)
=(x-y)(10x+6y)
=(x-y)2(5x+3y)
=2(x-y)(5x+3y)
k/ 3x²+5y-3xy-5x
=(3x²-3xy)+(5y-5x)
=3x(x-y)-(5x-5y)
=3x(x-y)-5(x-y)
=(x-y)(3x-5)
L/ 3y²-3z²+3x²+6xy
=3(y²-z²+x²+2y)
m/ 16x³+54y³
=2(8x³+27y³)
=2(2x+3y)(4x²-6xy+9y²)
n/ x²-25-2xy+y²
=(x²-2xy+y²)-25
=(x-y)²-25
=(x-y)²-5²
=(x-y-5)(x-y+5)
Giải thích các bước giải:
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