Answer :

Factorizing the equation p2 + 30p + 216, by splitting the middle term of the equation:

p2 + 30p + 216 = p2 + 18p + 12p + 216 [, (18p + 12p) = 30p & (18p × 12p) = 216p2)


p2 + 30p + 216 = p (p + 18) + 12 (p + 18)


p2 + 30p + 216 = (p + 12) (p + 18)


But, (p + 12)(p + 18) ≠ (p + 18)(p – 12)


Hence, the statement is false.


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