Q68 of 128 Page 224

State whether the statements are true (T) or false (F).
Some of the factors of are , , n and (n+1).

Factorizing n²/2 + n/2, by simply taking out common variables and constants.

n²/2 + n/2 = n²×1/2 + n×1/2

⇒ n²/2 + n/2 = 1/2 (n×n + n) = 1/2 n (n + 1)

⇒ 1/2, n and (n + 1) are factors of n²/2 + n/2.

Hence, the statement is true.

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

The factors of a² – 2ab + b² are (a+b) and (a+b).

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

h is a factor of 2π (h+r).

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

An equation is true for all values of its variables.

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

x² + (a+b)x + ab = (a+b) (x+ab)

State whether the statements are true (T) or false (F).Some of the factors of are , , n and (n+1).