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(81a^2 - 4) ÷ (9a + 2) |
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Answer» -step explanation:We KNOW the identity a 4 +b 4 +a 2 b 2 =(a 2 +b 2 +ab)(a 2 +b 2 −ab) Using the above identity, the equation 81a 4 +b 4 +9a 2 b 2 can be factorised as follows:81a 4 +b 4 +9a 2 b 2 =(3a) 4 +(b) 4 +(3a) 2 (b) 2 =[(3a) 2 +(b) 2 +(3a)(b)][(3a) 2 +(b) 2 +(3a)(b)]=(9a 2 +b 2 +3AB)(9a 2 +b 2 −3ab) |
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