Question

Which trinomial is a perfect square trinomial? a2 – 18a + 36 a2 – 16a + 64 a2 – 8a + 64 a2 – 6a + 36

Answer 1

Answer:

$a^2-16a+64$

Step-by-step explanation:

we have the options

$a^2-18a+36\\a^2-16a+64\\a^2-8a+64\\a^2-6a+36$

the one that is a perfect equare tinomial is:

$a^2-16a+64$

because we can rewrite this as follows:

$(a-8)^2$  this is because we know that

$x^2-2xy+y^2=(x-y)^2$

thus

$a^2-16a+64=(x-8)^2$

and the other options cannot be represented as a perfect square trinomial, so the correct answer is:

$a^2-16a+64$