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Factor completely:Answer:
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Q. Factor completely:Answer:
- Identify Factors: Identify common factors in both terms of the expression.The expression is . We can see that is a common factor in both terms.
- Factor Out Common Factor: Factor out the common factor . We can write the expression as times another factor. To find this other factor, we divide each term by .
- Simplify Inside Brackets: Simplify the expression inside the brackets.Now we need to simplify the expression inside the brackets by distributing in the second term.=
- Expand Product: Expand the product . To simplify further, we need to multiply by .
- Combine Like Terms: Combine like terms and rewrite the expression.Now we combine the like terms from the expansion and rewrite the expression.=
- Factor Quadratic Expression: Factor the quadratic expression if possible.We need to check if the quadratic expression can be factored further. However, this is a mistake because the correct expression inside the brackets should be , not .
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