(x2 - xy + y2)(x + y)
4 - y2 can be written as 22 - y2. This has become of the form of x2 - y2.Expansion for x2 - y2 is (x+y)(x-y).So, 4 - y2 = 22 - y2 = (2+y)(2-y)
x6 - y6 = (x3)2 - (y3)2 = (x3 + y3) (x3 - y3) = (x + y)(x2 - xy + y2)(x - y)(x2 + xy + y2)
x2 + 6x + 8 = (x + 4)(x + 2)
The factoring is as follows: x2 - y2 = (x + y) * (x - y)
x2 -y2 +4y-4=(x+y)(x-y)+4y-4
(x2 - xy + y2)(x + y)
There is no expansion for x2 + y2
(x - y + 7)(x + y)
X2+y2=25 (x-8)2+y2 =41
(x - y)(x + y)(x2 - xy + y2)(x2 + xy + y2)
x2 + y2 = 2r2
What do you want to convert it to? x2 + y2 = 2x If you want to solve for y: x2 + y2 = 2x ∴ y2 = 2x - x2 ∴ y = (2x - x2)1/2 If you want to solve for x: x2 + y2 = 2x ∴ x2 - 2x = -y2 ∴ x2 - 2x + 1 = 1 - y2 ∴ (x - 1)2 = 1 - y2 ∴ x - 1 = ±(1 - y2)1/2 ∴ x = 1 ± (1 - y2)1/2
y2=-x2-8x+6
Nothing there to factor. Check your question to see if that is 22xy. Rephrase and resubmit.
X2 + y2 = 100 = r2 r = 10
5. A circle with centre (0,0) has equation: x2 + y2 = radius2 With: x2 + y2 = 25 = 52 The radius is 5.