Question
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Tutor-Verified Answer
Answer
La expresión se simplifica a \( 10b(1 - 3ab) \).
Solution
Factor the expression by following steps:
- step0: Factor:
\(10b-30ab^{2}\)
- step1: Factor the expression:
\(10\left(b-3b^{2}a\right)\)
- step2: Factor the expression:
\(10b\left(1-3ab\right)\)
La expresión \( 10 b - 30 a b^{2} \) se puede factorizar como:
\[
10b(1 - 3ab)
\]
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Simplify this solution Bonus Knowledge
To factor the expression \( 10b - 30ab^2 \), start by identifying the greatest common factor (GCF) of the terms. Here, the GCF is \( 10b \). Factoring that out gives: \[ 10b(1 - 3ab) \] Now you have a cleaner expression that makes it easier for further analysis or solving in equations. In the world of algebra, factoring helps simplify complex problems. This expression may appear in various scenarios, like when finding roots or even in calculus when determining maximum and minimum values. Understanding how to manipulate these forms can greatly aid in solving real-world problems involving rates, areas, or even economics!
