Question

(12n - 6 + p + 6n)

a) (18n + p - 6)
b) (18n + p)
c) (12n + p - 6)
d) (12n + p + 6)

Answer 1

The expression (12n - 6 + p + 6n) simplifies to (18n + p) by combining like terms, making the correct answer (b) 18n + p.

Step-by-step explanation:

The student has presented an algebraic expression that needs to be simplified: (12n - 6 + p + 6n). To simplify the expression, we combine like terms, which are terms that have the same variable raised to the same power.

First, we combine the 'n' terms:

• 12n + 6n = 18n.

Next, we combine the constant terms:

• -6 + 6 = 0 (which cancels out).

Since the 'p' term does not have a like term to combine with, it remains as is. So the simplified expression is:

• 18n + p.

Therefore, the correct answer is (b) 18n + p.