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Express left bracket, x, minus, 7, right bracket, squared(x−7) 2 as a trinomial in standard form.

Question

Express left bracket, x, minus, 7, right bracket, squared(x−7) 2 as a trinomial in standard form.

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Solution

The expression (x - 7)^2 can be expanded into a trinomial by using the formula (a - b)^2 = a^2 - 2ab + b^2.

Here, a is x and b is 7.

So, (x - 7)^2 = x^2 - 2x7 + 7^2

This simplifies to:

x^2 - 14x + 49

So, the trinomial in standard form is x^2 - 14x + 49.

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