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September 2021
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Разложите на множители!
2x^3-16-x^2+4
x^3+8-x^2-2x
x^2-4x-(x-4)^2
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sedinalana
Verified answer
2x^3-16-x^2+4 =2x³-x²-12=2x²(x-2)+3x(x-2)+6(x-2)=(x-2)(2x²+3x+6)
x^3+8-x^2-2x=(x+2)(x²-2x+4)-x(x+2)=(x+2)(x²-2x+4-x)=(x+2)(x²-3x+4)
x^2-4x-(x-4)^2=x(x-4)-(x-4)²=(x-4)(x-x+4)=4(x-4)
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2x^3-16-x^2+4 =2x³-x²-12=2x²(x-2)+3x(x-2)+6(x-2)=(x-2)(2x²+3x+6)x^3+8-x^2-2x=(x+2)(x²-2x+4)-x(x+2)=(x+2)(x²-2x+4-x)=(x+2)(x²-3x+4)
x^2-4x-(x-4)^2=x(x-4)-(x-4)²=(x-4)(x-x+4)=4(x-4)