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17 February, 10:03

What value should be added to the expression to create a perfect square? x2 - 10x A. 25 B. - 100 C. 5 D. 100

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  1. 17 February, 13:56
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    It's important to understand how perfect square trinomials work.

    Say we had a factored perfect square trinomial in the form (x - n) ²

    If we distributed that out we'd have x² + 2nx + n².

    Now, take a look at our expression ... x² - 10x.

    Imagine that 2nx term as 10x ... n = 5.

    In that case, we'd have to add 25 to make our perfect square trinomial

    as a rule of thumb: halve the x coefficient, square it, and then add it.
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