Question

PLEASE HELP!!!!!!!!!!!

Two sets of quadratic expressions are shown below in various forms:

Line 1: x^2 − x − 6 (x + 2)(x − 3) (x + 0.5)^2 − 6.25
Line 2: x^2 − x − 2 (x + 1)(x − 2) (x − 0.5)^2 − 2.25

Which line contains three equivalent expressions?

Line 1 only

Line 2 only

Both Line 1 and Line 2

Neither Line 1 nor Line 2

Answer 1

@AkashdeepDeb @ganeshie8 @mathmale @sidsiddhartha

Answer 2

Just simply multiply them and check!

Here is the hint:

\[(a+b)^2 = a^2 + b^2 + 2ab\]
\[(a-b)^2 = a^2 + b^2 - 2ab\]
\[(x+a)(x+b) = x(x+b) + a(x+b) = x^2 + bx + ax + ab = x^2 + (a+b)x + ab\]

Try using these to see if the forms are the same.

Answer 3

I think it's just the second line.

Answer 4

Ok, I just multiplied, is it line 2 only? cuz that was the only 1 i got all equivalents

Answer 5

Correct! :)

Answer 6

thanks :)

Answer 7

thanks @Shaunticlair 2! :) id give u a medal 2 if i could :)