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Use two different methods to expand 1/4(x+2x+16-8)

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Answer:

Both methods give 1/(12x + 32)

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)

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