1)
a) m³+n³ = (m+n)×(m²-mn+n²)
б) 64+y³ = (4+y)×(16-4y+y²)
в) 8-m³ = (2-m)×(4+2m+m²)
2)
a) c³-d³ = (c-d³)×(c²+cd³+d⁶)
б) a⁶+b⁶ = (a²+b²)×(a⁴-a²b²+b⁴)
3)
a) 0,008a³- 64b³ = 1/125a³ - 64b³ = (1/5a - 4/5b)
×(1/25a²+ 4/5ab + 16b²)
б) 1000x³-у⁶ = 10³х³ -у³×² = (10х)³- (у²)³= (10х-у²)×((10х)²+10ху²+(у²)²) = (10х-у²)×(100х²+10ху²+у⁴)
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Answers & Comments
1)
a) m³+n³ = (m+n)×(m²-mn+n²)
б) 64+y³ = (4+y)×(16-4y+y²)
в) 8-m³ = (2-m)×(4+2m+m²)
2)
a) c³-d³ = (c-d³)×(c²+cd³+d⁶)
б) a⁶+b⁶ = (a²+b²)×(a⁴-a²b²+b⁴)
3)
a) 0,008a³- 64b³ = 1/125a³ - 64b³ = (1/5a - 4/5b)
×(1/25a²+ 4/5ab + 16b²)
б) 1000x³-у⁶ = 10³х³ -у³×² = (10х)³- (у²)³= (10х-у²)×((10х)²+10ху²+(у²)²) = (10х-у²)×(100х²+10ху²+у⁴)