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If (a6 – b6) = 8(a4 + b4 + a2b2), then find the value of (a2 – b2).

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If (a6 – b6) = 8(a4 + b4 + a2b2), then find the value of (a2 – b2).
1). 2
2). 4
3). 8
4). 16


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Answered by on | Votes 0 |

? (a2 – b2) = (a + b)(a – b)

We can write, (a6 – b6) = (a2 – b2)(a4 + b4 + a2b2)

⇒ (a2 – b2)(a4 + b4 + a2b2) = 8(a4 + b4 + a2b2)

⇒ (a2 – b2) = 8

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