Question

How do I get the other number and it’s bye using writing perfect-square trinomials

Answer 1

25

1) We must start by reminding the binomials. Since this question refers to a perfect square trinomial then we can write:

`(a-b)^2=a^2-2ab+b^2`

2) Now we can look at the expression. Let's start by dividing that 10 by 2, since we have to write that -10x as 2 times the product of x and the other term:

`\begin{gathered} -(10)/(2)=5 \\ (x-5)^2=x^2-2(5)(x)+5^2=x^2-10x+25 \end{gathered}`

Note that the second term is 5²= 25

3) Hence, the answer is 25