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Solución
Factor the expression
.
Factor the expression by following steps:
Factor the expression by following steps:
- step0: Factor:
- step1: Factor the expression:
- step2: Factor the expression:
The factored form ofis .
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Beyond the Answer
To factor the expression
, we begin by identifying the greatest common factor (GCF) in both terms. Here, both terms share a GCF of
. Factoring out
, we get:
So the factored form of the expression is
.
Now, let’s take a quick look at polynomials. They’re like the cake of the math world! Every part contributes to the whole, and factoring them can help us understand their structure better, like understanding the layers of different flavors in your favorite dessert. Plus, factoring allows for solving equations – it’s how we uncover the mystery of where functions cross the x-axis!
Additionally, practicing factoring can sharpen your skills in algebra, and it’s useful across various fields—from engineering to economics. For instance, in optimization problems, being able to factor can simplify equations and lead to finding maximum or minimum values more easily. So, next time you’re faced with a polynomial, remember it’s not just numbers; it’s a puzzle waiting to be solved!
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