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

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

User Paul Odeon
by
8.6k points

2 Answers

6 votes
Yes the statement is true.
User Harshit Rathi
by
8.4k points
0 votes

Answer:

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.

User Inamur Rahman
by
8.1k points
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