Ответ:
если правильно поняла задание, то надо на множители разложить
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Answers & Comments
Ответ:
если правильно поняла задание, то надо на множители разложить
1)![b^{2} -a^{3} =(b-a)(b^{2} +ab+a^{2} ) b^{2} -a^{3} =(b-a)(b^{2} +ab+a^{2} )](https://tex.z-dn.net/?f=b%5E%7B2%7D%20-a%5E%7B3%7D%20%3D%28b-a%29%28b%5E%7B2%7D%20%2Bab%2Ba%5E%7B2%7D%20%29)
2)![\frac{1}{y^{3} } -x^{3}=(\frac{1}{y}-x)(\frac{1}{y^{2} }+\frac{x}{y}+x^{2} ) \frac{1}{y^{3} } -x^{3}=(\frac{1}{y}-x)(\frac{1}{y^{2} }+\frac{x}{y}+x^{2} )](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7By%5E%7B3%7D%20%7D%20-x%5E%7B3%7D%3D%28%5Cfrac%7B1%7D%7By%7D-x%29%28%5Cfrac%7B1%7D%7By%5E%7B2%7D%20%7D%2B%5Cfrac%7Bx%7D%7By%7D%2Bx%5E%7B2%7D%20%20%20%20%20%29)
3)![a^{6}+1=(a^{2}+1)(a^{4}-a^{2}+1) a^{6}+1=(a^{2}+1)(a^{4}-a^{2}+1)](https://tex.z-dn.net/?f=a%5E%7B6%7D%2B1%3D%28a%5E%7B2%7D%2B1%29%28a%5E%7B4%7D-a%5E%7B2%7D%2B1%29)
4)![x^{3} y^{3} -1=(xy-1)(x^{2} y^{2}+xy+1) x^{3} y^{3} -1=(xy-1)(x^{2} y^{2}+xy+1)](https://tex.z-dn.net/?f=x%5E%7B3%7D%20y%5E%7B3%7D%20-1%3D%28xy-1%29%28x%5E%7B2%7D%20y%5E%7B2%7D%2Bxy%2B1%29)
5)![m^{3}n^{3}+8=(mn+2)( m^{2}n^{2}-2mn+4) m^{3}n^{3}+8=(mn+2)( m^{2}n^{2}-2mn+4)](https://tex.z-dn.net/?f=m%5E%7B3%7Dn%5E%7B3%7D%2B8%3D%28mn%2B2%29%28%20m%5E%7B2%7Dn%5E%7B2%7D-2mn%2B4%29)
6)![-(\frac{1}{8}+a^{3})=-(\frac{1}{2}+a)(\frac{1}{4}-\frac{a}{2}+a^{2}) -(\frac{1}{8}+a^{3})=-(\frac{1}{2}+a)(\frac{1}{4}-\frac{a}{2}+a^{2})](https://tex.z-dn.net/?f=-%28%5Cfrac%7B1%7D%7B8%7D%2Ba%5E%7B3%7D%29%3D-%28%5Cfrac%7B1%7D%7B2%7D%2Ba%29%28%5Cfrac%7B1%7D%7B4%7D-%5Cfrac%7Ba%7D%7B2%7D%2Ba%5E%7B2%7D%29)