Answer:
Both methods give 1/(12x + 32)
Step-by-step explanation:
Given 1/4(x + 2x + 16 - 8)
First Method.
Summing the like terms of the quantities in the denominator we are building, then multipying the root by 4.
Adding like terms in the denominator
1/4(x + 2x + 16 - 8) = 1/4(3x + 8)
Multiply denominator byv4
= 1/(12x + 32)
Second Method.
Multiply the quantities in the denominator by 4, and add the like terms together.
Multiplying denominator by 4.
1/4(x + 2x + 16 - 8) = 1/(4x + 8x + 64 - 32)
Adding like terms in denominator.
= 1/(12x + 32)
