Factorize:
9x4 - x2 - 12x - 36
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Given,
⇒ 9x4 - x2 - 12x - 36
⇒ (9x4) - (x2 + 12x + 36)
⇒ (3x2)2 - (x + 6)2
⇒ (3x2 + x + 6)(3x2 - x - 6).
Hence, 9x4 - x2 - 12x - 36 = (3x2 + x + 6)(3x2 - x - 6).
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x(x - 2) - y(y - 2)
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x4 + 5x2 + 9