Factorize the following:20a12b2 - 15a8b4

1.	Factorize the following:20a12b2 - 15a8b4
Answer» Greatest common factor of the two terms namely 20a¹²b² and -15a⁸b⁴ of expression 20a¹²b² -15a⁸b⁴ is 5a⁸b² 20a¹²b² = 5a⁸b² (4a⁴) and - 15a⁸b⁴= 5a⁸b² (-3b²) 20a¹²b² - 15a⁸b⁴ = 5a⁸b² (4a⁴ - 3b²) = 5a⁸b²((2a)² - (b√3)²) = 5a⁸b²(2a + b√3)(2a - b√3)

Answer»

Greatest common factor of the two terms namely 20a¹²b² and -15a⁸b⁴ of expression 20a¹²b² -15a⁸b⁴ is 5a⁸b²

20a¹²b² = 5a⁸b² (4a⁴) and - 15a⁸b⁴= 5a⁸b² (-3b²)

20a¹²b² - 15a⁸b⁴ = 5a⁸b² (4a⁴ - 3b²) = 5a⁸b²((2a)² - (b√3)²) = 5a⁸b²(2a + b√3)(2a - b√3)

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