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What number goes in the box so that \[x^2 + 18x + \boxed{\phantom{00}}\]is the square of a binomial? If you find more than one, give your answer as a list.

Respuesta :

amna04352

Answer:

81

Step-by-step explanation:

x² + 18x

x² + 2(x)(9) + 9²

x² + 2(x)(9) + 81

(x + 9)²

Following are the solution to the given question:

Given:

[tex]\to x^2 + 18x[/tex]

To find:

Solve

Solution:

[tex]\to x^2 + 18x\\\\\to x^2 + 2(x)(9) + 9^2\\\\\to x^2 + 2(x)(9) + 81\\\\\to (x + 9)^2\\[/tex]

Therefore, the final answer is "[tex](x+9)^2[/tex]"

Learn more:

brainly.com/question/14968861

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