Answer:
True
Step-by-step explanation:
Given: [tex]9x^2-30x+25[/tex]
We have to write the given polynomial in perfect square nominal.
[tex]A^2-2AB+B^2[/tex]
We can factor it like
[tex]A^2-2AB+B^2=(A-B)^2[/tex]
It is perfect square trinomial.
[tex]9x^2-30x+25[/tex]
We have to make perfect square first and last term.
[tex]9x^2\rightarrow (3x)^2\rightarrow A[/tex]
[tex]25\rightarrow 5^2\rightarrow B[/tex]
[tex]9x^2-30x+25\Rightarrow (3x)^2-2\cdot 3x\cdot 5+5^2[/tex]
Hence, The given polynomial is in perfect square trinomial.
