solve using identitoes (3 x² Y + 7 ) ( 3 x² Y + 11) mention The Identity used
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Given : (3 x² Y + 7 ) ( 3 x² Y + 11)
To Find : solve using identities
Solution:
(3 x² Y + 7 ) ( 3 x² Y + 11)
= (3 x² Y + 9 - 2 ) ( 3 x² Y + 9 + 2)
3 x² Y + 9 = a
2 = b
(a + b) (a - b) =a ² - b²
= (3X²Y + 9)² - 2²
(a + b)² = a² + b² + 2ab
a = 3X²Y , b = 9
= 9X⁴Y² + 54X²Y + 81 - 4
= 9X⁴Y² + 54X²Y + 77
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