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We are given the function f(x) = 4(x^2 − 6x + ____) + 20. To complete the expression, we have to complete the square of the one inside the parentheses. This is done by dividing the coefficient of x with 2 and then raising it to two.

-6/2 = -3
(-3)^2 = 9

So, the number to be added to the blank should be 9.
shubhamchouhanvrVT

The number to be added to the blank should be 9.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given function is f(x) = 4(x² − 6x + ____) + 20. To complete the expression, complete the square of the one inside the parentheses. This is done by dividing the coefficient of x with 2 and then raising it to two.

-6/2 = -3

(-3)² = 9

Therefore, the number to be added to the blank should be 9.

To know more about Expression follow

https://brainly.com/question/723406

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