Question

Subtract -6x^4-3x^2y^2+5y^4 from 2x^4-8x^2y^2-y^4

Answer 1

`(2x^(4) -8x^(2) y^(2) - y^(4) ) - (-6x^(4) - 3x^(2) y^(2) + 5y^(4) )`

=
`2x^(4) - 8x^(2) y^(2) - y^(4) + 6x^(4) + 3x^(2) y^(2) - 5y^(4)`

=
`8x^(4) - 5x^(2) y^(2) - 6y^(4)`

hope this helps!!!!

Answer 2

Answer:
`\Large\boxed{8x^4-5x^2y^2-6y^4}`

Explanation:

Given expression

(2x⁴ - 8x²y² - y⁴) - (-6x⁴ - 3x²y² + 5y⁴)

Expand the parenthesis

2x⁴ - 8x²y² - y⁴ + 6x⁴ + 3x²y² - 5y⁴

Move like terms together

2x⁴ + 6x⁴ - y⁴ - 5y⁴ - 8x²y² + 3x²y²

Combine like terms

`\Large\boxed{8x^4-5x^2y^2-6y^4}`

Hope this helps!! :)

Please let me know if you have any questions