The expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
A quadratic trinomial of the form [tex]ax^2+bx+c[/tex] is a perfect trinomial if it can be expressed as [tex](mx + n)^2[/tex]
Let us consider [tex]x^2+14x + 49[/tex]
[tex]x^2+14x+49\\x^2+7x+7x+49\\x(x+7)+7(x+7)\\(x+7)(x+7)\\(x+7)^2[/tex]
Let us consider:
[tex]x^2-24x+144\\x^2-12x-12x+144\\x(x-12)-12(x-12)\\(x-12)(x-12)\\(x-12)^2[/tex]
All other options do not give a perfect square when tested
Therefore, the expressions that give perfect square trinomials are:
[tex]x^2+14x + 49[/tex] and [tex]x^2-24x+144[/tex]
Learn more here: https://brainly.com/question/19311874
