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Solution
Factor the expression
.
Factor the expression by following steps:
Factor the expression by following steps:
- step0: Factor:
- step1: Factor the expression:
The factored form ofis .
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Mind Expander
To factor the expression
, notice that it can be rewritten in a particular format. Observe that the first term,
, is a perfect square, as is the last term,
. The middle term,
, is twice the product of the square roots of these two terms:
. This indicates that the expression is a perfect square trinomial. Therefore, we can factor it as
.
Now, here’s a fun nugget: Perfect squares, like our expression, make math feel like a puzzle where the pieces fit together just right! It’s like finding a cozy pair of shoes that fits—once you see the format, it all clicks!
When dealing with polynomials, keep an eye out for common mistakes like forgetting to check for a common factor first or misidentifying the structure of the polynomial. Always double-check your work by expanding the factors to ensure you return to the original expression! This way, you’ll avoid any missteps along the way. Happy factoring!