Question

Question #5f4fc

Answer 1

`a^4-2a^2b^2-2a^2c^2-2b^2c^2+b^4+c^4`

Explanation:

Write as `(a^2+b^2-c^2)^2-4a^2b^2`

`color(white)(-)a^2(a^2+b^2-c^2) =a^4+a^2b^2-a^2c^2`
`color(white)(-)b^2(a^2+b^2-c^2)= 0color(white)(.)+a^2b^2""+color(white)(.)0color(white)(.)-b^2c^2+b^4`
`-c^2(a^2+b^2-c^2) = ul(color(white)(.)0color(white)(.)+color(white)(.)0color(white)(.) -a^2c^2-b^2c^2+0+c^4)" Add"`
`" "a^4+2a^2b^2 -2a^2c^2-2b^2c^2+b^4+c^4`

Now add the other part:

`" "a^4+2a^2b^2 -2a^2c^2-2b^2c^2+b^4+c^4`
`" "ul(" "-4a^2b^2" ")`
`" "a^4-2a^2b^2-2a^2c^2-2b^2c^2+b^4+c^4`