Simplify 310x + 16y + 310x + 36y

Question

3
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1
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. Be sure to reduce any fractions to the lowest terms.(1 point) hvghgb

Answer 1

To simplify the expression \(310x + 16y + 310x + 36y\), we can first combine like terms for \(x\) and \(y\).

1. Combine the \(x\) terms: \[ 310x + 310x = 620x \]

2. Combine the \(y\) terms: \[ 16y + 36y = 52y \]

Now, we can write the simplified expression: \[ 620x + 52y \]

Next, we can factor out the greatest common divisor (GCD) from the coefficients \(620\) and \(52\). The GCD of \(620\) and \(52\) is \(4\).

3. Factoring out \(4\): \[ 620x + 52y = 4(155x + 13y) \]

The final simplified expression, reduced to its simplest form, is: \[ 4(155x + 13y) \]