Question

can someone help check my algebra 2 work plz??

Answer 1

the question is

You must:

Label and display your new polynomial identity
Prove that it is true through an algebraic proof, identifying each step
Demonstrate that your polynomial identity works on numerical relationships
WARNING! No identities used in the lesson may be submitted. Create your own. See what happens when different binomials or trinomials are combined. Below is a list of some sample factors you may use to help develop your own identity.

(x – y)
(x + y)
(y + x)
(y – x)
(x + a)
(y + b)
(x2 + 2xy + y2)
(x2 – 2xy + y2)
(ax + b)
(cy + d)

Answer 2

my work is

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

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

then you simplify it to x^2-y^2 which proves

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

Answer 3

is that right please help

Answer 4

Yes. That's right. I would start from line two and then your last line.

Answer 5

what do you mean

Answer 6

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

= x^2 - y^2, thus (x-y)(x+y) = x^2 - y^2

Answer 7

oh ok thx so how do i Demonstrate that my polynomial identity works on numerical relationships

Answer 8

Pick some numbers, i'm guessing? Say, let x = 2 and y = -1, show identity holds.

Answer 9

so just plug in random numbers??

Answer 10

That's what I would do.

Answer 11

ok thank you so muchhhhhhhhhh

Answer 12

so i would plug in x=2 y=-1 and get

Answer 13

im plugging it into both sides right??