Factorize the following trinomial square: (x^2 - 6x + 9)

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Accepted Answer

Step:1 ：First, to factor a trinomial square, we need to identify if the given trinomial can be expressed as ((a-b)^2). This is the case if and only if the trinomial can be written in the form (a^2 - 2ab + b^2).Step:2 ：Here, the given trinomial is (x^2 - 6x + 9). We can see that (x^2) is (a^2), (-6x) is (-2ab), and (9) is (b^2). The values of (a) and (b) are then (x) and (3) respectively.Step:3 ：Therefore, the trinomial (x^2 - 6x + 9) can be factored as ((x - 3)^2).

Answer

Step: 1 ：First, to factor a trinomial square, we need to identify if the given trinomial can be expressed as ((a-b)^2). This is the case if and only if the trinomial can be written in the form (a^2 - 2ab + b^2).Step: 2 ：Here, the given trinomial is (x^2 - 6x + 9). We can see that (x^2) is (a^2), (-6x) is (-2ab), and (9) is (b^2). The values of (a) and (b) are then (x) and (3) respectively.Step: 3 ：Therefore, the trinomial (x^2 - 6x + 9) can be factored as ((x - 3)^2).

Factorize the following trinomial square: \(x^2 - 6x + 9\)

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