Factor. 81 a 2 − ( 3 a + b ) 2

Question

Factor.   81      a          2        −  (  3  a  +  b      )          2

phravincegrln2 · Accepted Answer

81      a          2        −  (  3  a  +  b      )          2        81      a          2        −  (  3  a  +  b  )  (  3  a  +  b  )  81      a          2        −  (  9      a          2        +  6  a  b  +      b          2        )  81      a          2        −  9      a          2        −  6  a  b  −      b          2        72      a          2        −  6  a  b  −      b          2      (12a + b)(6a - b)     factored form

Lorelei Patterson · Accepted Answer

81      a          2        −  (  9      a          2        +      b          2        +  6  a  b  )  81      a          2        −  9      a          2        −      b          2        −  6  a  b  72      a          2        −  6  a  b  −      b          2        72      a          2        −  12  a  b  +  6  a  b  −      b          2      12a(6a-b)+b(6a-b)(12a+b)(6a-b) is the answer.

Factor. 81a^2 - (3a + b)^2

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