The coefficient of the x term in the product after simplifying [tex](-x-5)^{2}[/tex] is 10.
Given an expression in terms of product [tex](-x-5)^{2}[/tex]
We are required to find the coefficent of the term x in the given product expressed as an expression.
Expression is a combination of numbers,symbols, fraction, coefficients, determinants,indeterminants. It is usually not found in equal to form. It shows a relationship between variables.
The given expression is [tex](-x-5)^{2}[/tex].
We can write [tex](-x-5)^{2}[/tex] as (-x-5)(-x-5) and now multiply each other.
=-x*(-x)-x*(-5)-5*(-x)-5*(-5)
When two negative values are multiplied then they will result in positive number.
=[tex]x^{2} +5x+5x+25[/tex]
=[tex]x^{2} +10x+25[/tex]
Because 10 is present with x so the coefficient of term x is 10.
Hence the missing coefficient of the x term of the product [tex](-x-5)^{2}[/tex]
is 10.
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