Mathematics
Express (x2 + 8x - 15)(x2 - 8x - 15) as the difference of two squares.
Factorisation
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Answer
Given,
⇒ (x2 + 8x - 15)(x2 - 8x - 15)
⇒ [(x2 - 15) + (8x)] [(x2 - 15) - (8x)]
⇒ (x2 - 15)2 - (8x)2.
Hence, (x2 + 8x - 15)(x2 - 8x - 15) = (x2 - 15)2 - (8x)2.
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