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?

A. Line 1 only

B. Line 2 only

C. Both Line 1 and Line 2

D. 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?

A. Line 1 only

B. Line 2 only

C. Both Line 1 and Line 2

D. Neither Line 1 nor Line 2

mandre · Answer

Simplify the equations on the right. That should make it easy.
(x+1)(x+2) = x^2 + 3x + 2
So, equation 2 for #1 is equivalent. You should be able to manage the rest?

anonymous · Answer

A.
Refer to the attached calculations using the Mathematica program.