Respuesta :

The best and most correct answer among the choices provided by your question is the second choice or letter B "4a2 _ 20a + 25."

First term is a positive perfect square. ... Last term is a positive perfect square. ♦ The middle term is twice the product of the square root of the first term and the square root of the third term. So, our Perfect Square Trinomial factoring formulas are…


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
lublana

Answer:

The perfect square trinomial polynomial

[tex]4a^2-20a+25[/tex].

Step-by-step explanation:

A. Given [tex] 49x^2-28x+16[/tex]

[tex] (7x)^2-2\times 7x\times2+(2)^2+16-4[/tex]

[tex] (7x-2)^2+12 [/tex]

It is not of the perfect square  form [tex](a-b)^2 or (a+b)^2[/tex].

Therefore, the polynomial is not a perfect square trinomial polynomial.Hence, option A is false.

B.[tex]4a^2-20a+25[/tex]

[tex] (2a)^2-2\times 2a\times 5+(5)^2[/tex]

[tex](2a-5)^2[/tex]

It is a perfect square trinomial polynomial because it is of the perfect square form [tex](a-b)^2 [/tex] hence, It is perfect square polynomial and the polynomial have three terms therefore, it is trinomial.Hence, option B is true.

C.[tex]25b^2-20b-16[/tex]

[tex](5b)^2-2\times 5b\times 2+(2)^2-4-16[/tex]

[tex] (5b-2)^2-20[/tex]

It is not of the perfect square form [tex](a-b)^2 [/tex].Hence, option C is false.

D.[tex] 16x^2-24x-9 [/tex]

[tex] (4x)^2-2\times 4x\times 3+9-9-9[/tex]

[tex](4x-3)^2-18[/tex]

It is not of the perfecr square form [tex](a-b)^2[/tex]. Hence, the option D is false.

Otras preguntas