Understanding the Factored Form of 3x+24y

The factored form of 3x+24y can seem intimidating or confusing at first, but it’s actually quite simple once you break it down.

To start, let’s define what we mean by “factored form.” Essentially, this means that we’re trying to express an equation in terms of its factors (the numbers that multiply together to create the expression). For example, if we had the equation x^2 – 4x – 12, we could factor it into (x-6)(x+2).

So how do we factor 3x+24y? The first step is to look for any common factors between the two terms. In this case, both 3 and 24 are divisible by 3. So we can rewrite the equation as 3(x + 8y).

Now we have the expression in factored form! We can see that the factors are 3 and (x + 8y). This means that if we were given values for x and y, we could easily plug them in and solve the equation. For example, if x=2 and y=3, we would have:

3(2) + 24(3) = 6 + 72 = 78

It’s worth noting that the factored form of an equation is not always necessary or useful. Sometimes it’s more helpful to work with the equation in its original form, such as if we were graphing the line represented by 3x+24y. However, understanding factored form is an important skill that can come in handy in a variety of math contexts.

In summary, the factored form of 3x+24y is simply 3(x + 8y), where the factors are 3 and (x + 8y). By looking for common factors and breaking the equation down in this way, we can make it easier to solve for specific values of x and y.

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