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Phân tích đa thức thành nhân tử 1) 10x² (x – y) + 15x³ (y – z) 2) 1 – 12xy + 36²y²
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Answers ( )
1, 10x^2(x-y)+15x^3(y-z)
10x^2(x-y)-15x^3(x-y)
=(10x^2-15x^3)(x-y)
2, 1-12xy+36x^2y^2
=1^2-2*1*6xy+(6xy)^2
=(1-6xy)^2
Study well
1) `10x^2(x-y)+15x^3(y-z)`
`=10x^2(x-y)-15x^3(x-y)`
`=5x^2(x-y)(2-3x)`
2) `1-12xy+36x^2y^2`
`=(6xy)^2-6xy.2+1^2`
`=(6xy-1)^2`