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Factor completely:Answer:
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Q. Factor completely:Answer:
- Expand and Simplify: First, we will expand the second term to simplify the expression. To do this, we first need to square , and then multiply the result by .
- Square : Let's square . We use the formula .
- Multiply Terms: Now we multiply by the squared term .
- Combine Like Terms: Combine like terms in the expanded expression.=
- Add First Term: Now we have the expanded form of the second term. We can now add it to the first term .First, we expand .
- Combine Like Terms: Combine like terms in the expanded expression of the first term. =
- Add Second Term: Now we add the expanded first term to the expanded second term.=
- Combine Like Terms: Combine like terms in the final expression.
- Factor Out : We now look for common factors in the terms of the expression. We can see that each term has a common factor of .Factor out from the expression.
- Factor Out : We notice that is also a multiple of , so we can factor out from the entire expression.
- Factor Quadratic Expression: Now we check if the quadratic expression can be factored further.The quadratic factors as , since .However, we made a mistake in the calculation. The correct factorization should be , which simplifies to .
