Factor completely.75, x, minus, 3, x, cubed75x−3x 3
Question
Factor completely.75, x, minus, 3, x, cubed75x−3x 3
Solution
The expression you provided seems to be "75x - 3x^3". To factor this completely, follow these steps:
Step 1: Identify the greatest common factor (GCF). In this case, the GCF is 3x.
Step 2: Factor out the GCF from each term in the expression.
So, 75x - 3x^3 becomes 3x(25 - x^2).
Step 3: Now, notice that the expression inside the parentheses is a difference of squares, which can be factored as (a+b)(a-b).
So, 3x(25 - x^2) becomes 3x(5 + x)(5 - x).
Therefore, the completely factored form of 75x - 3x^3 is 3x(5 + x)(5 - x).
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