Q74 of 128 Page 224

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

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.

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

Common factor of 12a²b²+4ab²-32 is 4.

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

Factorisation of -3a²+3ab+3ac is 3a(-a–b –c).

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

The difference of the squares of two consecutive numbers is their sum.

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

abc + bca + cab is a monomial.

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