Question

The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.

9x^2-30x+25
A. True
B. False

Answer 1

Yes the statement is true.

Answer 2

True

Explanation:

Given:
`9x^2-30x+25`

We have to write the given polynomial in perfect square nominal.

`A^2-2AB+B^2`

We can factor it like

`A^2-2AB+B^2=(A-B)^2`

It is perfect square trinomial.

`9x^2-30x+25`

We have to make perfect square first and last term.

`9x^2\rightarrow (3x)^2\rightarrow A`

`25\rightarrow 5^2\rightarrow B`

`9x^2-30x+25\Rightarrow (3x)^2-2\cdot 3x\cdot 5+5^2`

Hence, The given polynomial is in perfect square trinomial.