Question

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

Answer 1

Yes the statement is true.

Answer 2

Answer:

True

Step-by-step 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.