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Yuki888 [10]
3 years ago
15

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

Mathematics
2 answers:
sertanlavr [38]3 years ago
8 0
Yes the statement is true.
irakobra [83]3 years ago
5 0

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.

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