simplify 8x^3-y^3+z^3+6xyz/a^3-8b^3+27c^3+18abc÷4x^2+y^2+z^2+2xy+yz-2xz/a^2+4b^2+9c^2+2ab+6bc-3ac
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8x
3
+y
3
+27z
3
−18xyz
using the formula, a
3
+b
3
+c
3
−3abc=(a+b+c)(a
2
+b
2
+c
2
−ab−bc−ac)
=(2x)
3
+y
3
+(3z)
3
−3×2x×y×3z
=(2x+y+3z)[(2x)
2
+y
2
+(3z)
2
−2x×y−y×3z−3z×2x]
=(2x+y+3z)(4x
2
+y
2
+9z
2
−2xy−3yz−6zx)
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