12x^2y-18xy^2-30y^3
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b, \(12x^2y-18xy^2-30y^3\)
\(=6y\left(2x^2-3xy-5y^2\right)\)
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a) \(x^2-2x-15\)
\(\Leftrightarrow x^2-2x+1-16\)
\(\Leftrightarrow\left(x-1\right)^2-4^2\)
\(\Leftrightarrow\left(x-5\right)\left(x-3\right)\)
\(a,x^2-2x-15=\left(x^2-2x+1\right)-16.\)
\(=\left(x-1\right)^2-4^2\)
\(=\left(x-5\right)\left(x+3\right)\)
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d)5.(x-y)-y(x-y)
=(x-y)(5-y)
e) y.(x-z)+7(z-x)
=y.(x-z)-7(x-z)
=(x-z)(y-7)
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a) \(x^2-5x+3x-15=x\left(x-5\right)+3\left(x-5\right)=\left(x-5\right)\left(x+3\right)\)
b) \(5x^2y^3\left(1-5xy+2x\right)\)
c) \(6y\left(2x^2-3xy-5y\right)\)
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đề dài nên T giải câu a thôi bn tự làm tiếp mấy câu khác nhé
2x^2 - 2y^2 - 6x - 6y
= 2(x^2-y^2) - 6(x+ y)
= 2(x-y)(x+y) - 6(x+y)
= (2(x-y)-6) (x+y)
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1, \(3x^2y^2-6x^2y^3+9x^2y^2\)
\(\Leftrightarrow12x^2y^2-6x^2y^2\)
\(\Leftrightarrow3x^2y^2\left(4+2y\right)\)
5x^2y^3 - 25x^3y^4 + 10x^3y^3
\(\Leftrightarrow5x^2y^3\left(1-5xy+2x\right)\)
\(12x^2y-18xy^2-30y^3\)
\(=6xy\left(2x-3y-5y^2\right)\)
\(=6xy\left[-5y^2-5y+2y+2\right]\)
\(=6xy\left[-5y\left(y+1\right)+2\left(y+1\right)\right]\)
\(=6xy\left(y+1\right)\left(2-5y\right)\)