Question

a)x^3-8y^3-6x^2y+12xy^2
B)8x^6+y^3+12x^4y+6x^2y^2
разложите на множители
подробное решение

Answer 1

x³-8y³-6x²y+12xy²=(x-2y)(x²+2xy+4y²) - 6xy(x-2y)=
=(x²-2xy-2xy+4y²)(x-2y)=(x²-4y+4y²)(x-2y)=(x-2y)³

8x⁶+y³+12x⁴y+6x²y²=(2x²+y)(4x⁴-2x²y+y²)+6x²y(2x²+y)=
=(2x²+y)(4x⁴-4x²y+y²)=(2x²+y)³