Question

PHÂN TÍCH CÁC ĐA THỨC SAU THÀNH NHÂN TỬ

A.5X²+3(X+Y)²-5Y²

B.5X²-Y²-2X+2Y

C.81X²-6YZ-9Y²-Z²

D.X²Y-X³-9Y+9X

E.X³+9X²-4X-36

G.X⁶-X⁴+2X³+2X²

H.2X³+X²-8X-4

--THANKS--

Answer 1

A.5X²+3(X+Y)²-5Y²

= 5.(x² - y²) + 3(x+y)²

=5.( x-y).(x+y) +3(x+y)²

= ( x+y).[(5.( x-y) + 3(x+y)]

=( x+y).( 5x-5y +3x + 3y)

=( x+y).( 8x - 2y)

=( x+y).2(4x - y)

C.81x² - 6yz - 9y² - z²

=( 9x)² - (z² + 6yz+ 9y²)

=( 9x)² -( z +3y)²

=(9x - z -3y).(9x + z+3y)

D.x²y-x³-9y+9x

=9.(x - y) + x²(y - x)

= 9.(x-y) - x²(x-y)

=(x+y).[3²- x²]

=(x+y).(3-x).(x+2)

E.x³+9x²-4x-36

=(x³-4x) + (-36 +9x²)

=x.(x²-4) + 9.(x²-4)

=(x²-4).(x+9)

H.2x³+x²-8x-4

= x².(2x+1)-4.(2x +1)

=(2x +1).(x² -4)

= (2x +1).(x-2).(x+2)

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