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Which expression is not a perfect square trinomial?

Question 2 options:

121 plus 11 y plus y squared


100 minus 20 y plus y squared


81 plus 18 y plus y squared


144 plus 24 y plus y squared

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Answer:

Remember that a perfect square trinomial can be factored into the form (a+b)^2

or (a-b)^2

Examples:

(x+2)(x+2) is a perfect sq trinomial --> x^2+4x+4

(x-3)(x-3) is a perfect sq trinomial --> x^2-6x+9

(x+2)(x-3) is not a perfect square trinomial because its not in the form (a+b)^2 or (a-b)^2

Now to answer your question,

for the first one, x^2-16x-64, you cannot factor it so it is not a perfect square trinomial

for the second one, 4x^2 + 12x + 9, you can factor that into (2x+3)(2x+3) = (2x+3)^2 so this is a perfect square trinomial

for the third one, x^2+20x+100 can be factored into (x+10)(x+10) so this is also a perfect square trinomial

for the fourth one, x^2+4x+16 cannot be factored so this is not a perfect square trinomial

Therefore, your answer is choices 2 and 3

Read more on Brainly.com - https://brainly.com/question/10522355#readmore

Step-by-step explanation:

Answer:

A. 121 plus 11 y plus y squared; [tex]121+11y+y^2[/tex]

Step-by-step explanation:

We are asked to choose the expression that is not a perfect square trinomial.

We know that a perfect square trinomial is in form [tex]a^2\pm 2ab+b^2[/tex].

A. 121 plus 11 y plus y squared

[tex]121+11y+y^2[/tex]

[tex]11^2+11y+y^2[/tex]

For this expression to be a perfect square trianomal, the middle term needs to be [tex]2*11y=22y[/tex]. Since the middle term is not equal to [tex]2ab[/tex], therefore, option A is not a perfect square trinomial.

B. 100 minus 20 y plus y squared

[tex]100-20y+y^2[/tex]

[tex]10^2+2*10y+y^2[/tex]

Therefore, option B is a perfect square trinomial.

C. 81 plus 18 y plus y squared

[tex]81+18y+y^2[/tex]

[tex]9^2+2*9y+y^2[/tex]

Therefore, option C is a perfect square trinomial.

D. 144 plus 24 y plus y squared

[tex]144+24y+y^2[/tex]

[tex]12^2+2*12y+y^2[/tex]

Therefore, option D is a perfect square trinomial.

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