Question

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clear a
□7 (x+y+z)-(x+y+z) を因数分解せよ。

Answer 1

✨ Best Answer ✨

BaSO4

第一項=x^3+y^3+z^3+3x^2y+3x^2z+3xy^2+3y^2z+3xz^2+3yz^2+6xyz
第二項を引くと
3x^2y+3x^2z+3xy^2+3y^2z+3xz^2+3yz^2+6xyz
=3(y+z)x^2+3(y^2+2yz+z^2)x+(3y^2z+3yz^2)
=3(y+z)x^2+3(y+z)^2x+3yz(y+z)
=3(y+z)(x^2+(y+z)x+yz)
=3(y+z)(x+y)(x+z)