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Factor.
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Q. Factor.
- Check Pattern: Determine if the quadratic expression can be factored using the perfect square trinomial formula.A perfect square trinomial is in the form of . We need to check if fits this pattern.
- Identify Squares: Identify the square of the first term and the square of the last term. is the square of because . is the square of because .
- Check Middle Term: Check if the middle term is twice the product of the square roots of the first and last terms.The middle term is . The product of the square roots of the first and last terms is . Twice this product is , which matches the middle term.
- Write as Trinomial: Write the expression as a perfect square trinomial.Since the expression fits the pattern of a perfect square trinomial, we can write it as .
- Verify Factored Form: Verify the factored form by expanding it to ensure it matches the original expression., which matches the original expression.
