X^2 - y^2 = a
2xy = b
x^2 + y^2 = c
A polynomial identity is an equation that is always true.`1
You can relate x^2 + y^2 with x^2 - y^2 and 2xy in this ways.
1) Step 1:
[x^2 + y^2]^2 = x^4 + 2(xy)^2 + y^4 = c^2
2) Step 2:
[x^2 - y^2] = x^4 - 2(xy)^2 + y^2 = a^2
(2xy)^2 = 4(xy)^2 = b^2
x^4 - 2(xy)^2 + y^2 + (2xy)^2 = x^4 + 2(xy)^2 + y^2
------------------------ ---------- --------------------------
↓ ↓ ↓
a^2 b^2 = c^2
Answer: the identity is
c^2 = a^2 + b^2 equivalent to
(x^2 + y^2)^2 = (x^2 - y^2)^2 + (2xy)^2
The answer is A. 2, -2
Hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
4 hours
Step-by-step explanation:
2/3*6/1= 12/3
12/3 simplified is 4
Answer:
32x + 80 = y (Question 10)
240 (Question 11)
