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Factor completely.4, minus, x, squared4−x 2

Question

Factor completely.4, minus, x, squared4−x 2

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Solution 1

To factor the expression 4 - x^2 completely, we can use the difference of squares formula, which states that a^2 - b^2 = (a - b)(a + b).

Here, a = 2 (since 2^2 = 4) and b = x (since x^2 = x^2).

So, we can rewrite 4 - x^2 as (2 - x)(2 + x).

Therefore, the expression 4 - x^2 factors completely to (2 - x)(2 + x).

Solution 2

To factor the expression 4 - x^2 completely, we can use the difference of squares formula, which states that a^2 - b^2 = (a - b)(a + b).

Here, a = 2 (since 2^2 = 4) and b = x (since x^2 = x^2).

So, 4 - x^2 = (2 - x)(2 + x).

Therefore, the expression 4 - x^2 factors completely to (2 - x)(2 + x).

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