Question

a) x³-2*x²+x-x*y²

b) x³-4*x²-12*x+27

c) x²-2*x*y+y²+1

d) 2*x²+4*x+2-2*y²

e) 2*x*y-x²-y²+16

Zúp mk với meeys bn ơi...mk cần gấp lm

Answer 1

a) \(x^3-2x^2+x-xy^2\)

= \(x\left(x^2-2x+1-y^2\right)\)

\(=x\left(x-1-y\right)\left(x-1+y\right)\)

b) \(x^3-4x^2-12x+27\)

\(=x^3+27-4x^2-12x\)

\(=\left(x+3\right)\left(x^2-3x+9\right)-4x\left(x+3\right)\)

\(=\left(x+3\right)\left(x^2-7x+9\right)\)

c) \(x^2-2xy+y^2+1\)

\(=\left(x-1\right)^2+1\)

d) \(2x^2+4x+2-2y^2\)

\(=2\left(x^2+2x+1-y^2\right)\)

\(=2\left(x+1+y\right)\left(x+1-y\right)\)

e) \(2xy-x^2-y^2+16\)

\(=-\left(x^2-2xy+y^2-4^2\right)\)

\(=-\left(x-y-4\right)\left(x-y+4\right)\)

Answer 2

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