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

Question

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

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Solution

The expression (x + 7)^2 is equivalent to squaring each term inside the brackets and adding the double of the product of the terms.

Step 1: Square the first term inside the brackets (x^2). Step 2: Square the second term inside the brackets (7^2 = 49). Step 3: Multiply the terms inside the brackets and double the result (2x7 = 14x).

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

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