Pregunta
Completely factor the expression by grouping, if possible,
Answer
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Answer
How to enter your answer (opens in new window)
Selecting a radio button will replace the entered answer value(s) with the radio button value. If the radio button is not selected, the entered answer is used,
Ask by Johnson Bird. in the United States
Nov 07,2024
Solución de inteligencia artificial de Upstudy
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Group the terms, factor out the GCF, look for a common binomial, and factor out the common binomial. Example:
becomes
.
Solución

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Como
Beyond the Answer
When factoring by grouping, first split the expression into two pairs of terms. For example, if you have
, group them as
. Next, factor out the common factors in each group. In this case, you would factor out
from the first pair and
from the second pair, giving you
. Finally, factor out the common binomial
to achieve
.
This method is not just effective for polynomial expressions; it’s widely used in algebra to simplify complex equations. Understanding how to group terms and recognize common factors can help solve higher-degree polynomials, particularly when direct factoring seems daunting. Keep practicing with different polynomials to sharpen your skills and fluency in recognizing terms and their relationships!

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