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Sagot :
The number of unit tiles need to be added to complete the square and form a perfect square trinomial expression is 25.
What is algebra tile?
Algebra tiles used to represent the algebraic expression in the table form. The shape of algebra tile is square and rectangle, in which the variables represented.
A trinomial which is expressed as the square of the binomial equation is a perfect square trinomial.
Let the missing number for the given expression is g. Therefore,
[tex]x^2 +10x+g[/tex]
Now, to make the above expression the perfect square trinomial expression, this has to be make such that it can be written in the squared form.
To find the value of g, half the middle term and square it. As the value of the middle term is 10. Thus, the value of the g is,
[tex]g=\left(\dfrac{10}{2}\right)^2\\g=5^2\\g=25[/tex]
Put this value in the above expression as,
[tex]x^2 +10x+25\\(x+5)^2[/tex]
Hence, the number of unit tiles need to be added to complete the square and form a perfect square trinomial expression is 25.
Learn more about the algebra tile here;
https://brainly.com/question/4407619
Answer:
25.
half the middle coefficient, then square it.
Step-by-step explanation:
correct on edge 2022
hope this helped
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