State whether the statements are true (T) or false (F)Factorised form

1.	State whether the statements are true (T) or false (F)Factorised form of p2 + 30p + 216 is (p + 18) (p - 12).
Answer» False 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)

State whether the statements are true (T) or false (F)Factorised form of p2 + 30p + 216 is (p + 18) (p - 12).

Answer»

False

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)