Question

Which will result in a perfect square trinomial?

Answer 1

The answer is (3x – 5)(3x – 5)=(3x – 5)²
so (3x – 5)(3x – 5) forms a perfect square the answer is (3x – 5)(3x – 5)

Answer 2

Answer:

Option A and B are perfect square trinomial.

(3x – 5)(3x – 5)

(3x – 5)(5 – 3x)

Step-by-step explanation:

Given the options  of trinomials

we have to select the option which will result in a perfect square trinomial.

By algebraic identities

$(a+b)(a+b)=(a+b)^2$

$(a+b)(a-b)=a^2-b^2$

$Option A:(3x-5)(3x-5)$

$(3x-5)(3x-5)=(3x-5)^2$

which is a perfect square trinomial

$Option B:(3x-5)(5-3x)$

$(3x-5)(5-3x)=(3x-5)(-(3x-5))=-(3x-5)^2$

which is a perfect square trinomial

$Option C:(3x-5)(3x+5)$

$(3x-5)(3x+5)=(3x)^2-5^2=9x^2-25$

which is not a perfect square trinomial

$Option D:(3x-5)(-3x-5)$

$(3x-5)(-3x-5)=(3x-5)(-(3x+5))=-(9x^2-25)$

which is not a perfect square trinomial

Hence, Option A and B are perfect square trinomial.