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Question

Solve this by using suitable identities
(3a+4)? - (3a-4)?

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Solution

Question should be (3a + 4)2 -(3a - 4)2
=(9a2+16+24a) -(9a2+16-24a) [(a+b) 2 = a2+b2+2ab ]
=9a2+16+24a -9a2-16+24a
=48a

​Alternate way :
(3a + 4)2 -(3a - 4)2 [a2 - b2 = (a+b)(a-b)​]
((3a+4) +(3a-4))((3a+4)-(3a-4))
​=(6a)(8)
=48a

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