Jawab:
x³- y³ = (x - y)³+ 3 x y ( x - y )
Penjelasan dengan langkah-langkah:
lihat lampiran
Cara lain
2014 = a
2012 = a - 2
x
= x³ - y³
= (x - y)(x² + y² + xy)
= 2014³ - 2012³
= (2014 - 2012)(a² + (a - 2)² + a(a - 2))
= 2(3a² - 6a + 4)
x - 2 = 6a² - 12a + 8 - 2 = 6(a² - 2a + 1)
x - 2 = 6(a - 1)²
√((x - 2)/6)
= √(6(a - 1)²/6)
= a - 1
= 2014 - 1
= 2013
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Verified answer
Jawab:
x³- y³ = (x - y)³+ 3 x y ( x - y )
Penjelasan dengan langkah-langkah:
lihat lampiran
Verified answer
Cara lain
2014 = a
2012 = a - 2
x
= x³ - y³
= (x - y)(x² + y² + xy)
= 2014³ - 2012³
= (2014 - 2012)(a² + (a - 2)² + a(a - 2))
= 2(3a² - 6a + 4)
x - 2 = 6a² - 12a + 8 - 2 = 6(a² - 2a + 1)
x - 2 = 6(a - 1)²
√((x - 2)/6)
= √(6(a - 1)²/6)
= a - 1
= 2014 - 1
= 2013