1) m^3+n^3=(m+n)(m²-mn+n²)
2) a^3+1=(a+1)(a²-a+1)
3) 8x^3+64=(2x+4)(4x²-8x+16)
4)27m^3+8n^3=(3m+2n)(9m²-6mn+4n²)
5)125x^3+216y^3=(5x+6y)(25x²-30xy+36y²)
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Answers & Comments
1) m^3+n^3=(m+n)(m²-mn+n²)
2) a^3+1=(a+1)(a²-a+1)
3) 8x^3+64=(2x+4)(4x²-8x+16)
4)27m^3+8n^3=(3m+2n)(9m²-6mn+4n²)
5)125x^3+216y^3=(5x+6y)(25x²-30xy+36y²)