Pregunta
Verify the identity.
Write the left side of the identity using the sum and difference formula.
(
)
(Type the terms of your expression in the same order as they appear in the original expression.
Use the distributive property to simplify the expression from the previous step.
(Simplify your answer.)
Substitute
for
in the expression from the previous step and distribute.
Write the left side of the identity using the sum and difference formula.
(
(Type the terms of your expression in the same order as they appear in the original expression.
Use the distributive property to simplify the expression from the previous step.
Substitute
Ask by Bowen Ball. in the United States
Jan 25,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
After substituting
for
and distributing, the expression simplifies to
.
Solución
After substituting
for
in the expression
and distributing, we get:
Notice that
. Therefore, we can factor out
:
So, the simplified expression is:
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
To verify the identity, let’s start with the left side:
Using the sum and difference formula, we have:
Now, applying the distributive property, we expand this:
Next, we recognize that
can be rewritten using the Pythagorean identity:
So substituting
for
:
Distributing
:
Now, we combine terms to verify they match the right side, which is
. Thus, the original identity is confirmed as true.
The next step where we denote it is fully expanded:
And as per the identity
, it simplifies to:
This shows the verification is complete.

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