Two sets of quadratic equations are shown below in various forms.

Line 1: x^2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)^2 − 0.25
Line 2: x^2 + 5x + 6 (x + 2)(x + 3) (x + 2.5)^2 + 6.25

Which line contains three equivalent expressions?

Line 1 only

Line 2 only

Both Line 1 and Line 2

Neither Line 1 nor Line 2

Question

Two sets of quadratic equations are shown below in various forms.

Line 1: x^2 + 3x + 2    (x + 1)(x + 2)    (x + 1.5)^2 − 0.25
Line 2: x^2 + 5x + 6    (x + 2)(x + 3)    (x + 2.5)^2 + 6.25

Which line contains three equivalent expressions?

 Line 1 only

 Line 2 only

 Both Line 1 and Line 2

 Neither Line 1 nor Line 2

jdoe0001 · Answer

"$\bf \text{Two sets}$ of quadratic equations $\bf \text{are shown}$ below $\bf \text{in various forms}$."  seems to me like a given

jdoe0001 · Answer

now if you just want to verify, then factor them, to get the 2nd form, and "complete the square" to get the 3rd one

anonymous · Answer

$$\left( a+b \right)^{2}=a ^{2}+2ab+b ^{2},also (1.5)^{2}=2.25$$