Pregunta
Completely factor the expression by grouping, if possible.
Ask by Pierce Frazier. in the United States
Mar 31,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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The expression factors to
Solución
-
Group the terms in pairs:
-
Factor out the greatest common factor (GCF) from each pair:
-
Notice that each group now contains the common factor
. Factor this out:
Thus, the completely factored form of the given expression is:
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Simplifique esta solución Mind Expander
To factor the expression
-
Group the first two terms and the last two terms:
-
Factor out the common factors from each group:
- From
, we can factor out : - From
, we can factor out :
- From
-
Now we can rewrite the expression using our factored terms:
-
Notice that
is a common factor: -
The expression
can be factored further as a difference of squares: -
Thus, the completely factored form of the original expression is:
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