Answer:
[tex]4x^2+28x+49[/tex]
Step-by-step explanation:
We have been given a perfect square trinomial [tex]4x^2+...x+49[/tex]. We are asked to fill in the missing blank.
We know that a perfect square trinomial is in form [tex]a^2+2ab+b^2[/tex].
We can rewrite terms of our given expression as:
[tex]2^2x^2+...x+7^2[/tex]
[tex](2x)^2+...x+7^2[/tex]
We can see that the value of a is 2x and value of b is 7, so [tex]2ab[/tex] will be:
[tex]2ab=2(2x)(7)=28x[/tex]
Since we are asked to give numerical answer, so the missing value is 28 for our given perfect square trinomial.
