Q2 of 34 Page 14

Factorize the following:

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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