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

Question

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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: $$4(155x+13y)$$