Question

Subtract -6x^4-3x^2y^2+5y^4−6x

Answer 1

Answer:

$8x^4-5x^2y^2-6y^4+6x$

Step-by-step explanation:

We are required to subtract $-6x^4-3x^2y^2+5y^4-6x \:from \: 2x^4-8x^2y^2-y^4$.

$[2x^4-8x^2y^2-y^4]-[-6x^4-3x^2y^2+5y^4-6x]$

Step 1: Open the bracket, Take note of the signs

$[2x^4-8x^2y^2-y^4]-[-6x^4-3x^2y^2+5y^4-6x]\\2x^4-8x^2y^2-y^4+6x^4+3x^2y^2-5y^4+6x$

Step 2: Collect like terms

$2x^4+6x^4-8x^2y^2+3x^2y^2-y^4-5y^4+6x$

Step 3: Simplify

$8x^4-5x^2y^2-6y^4+6x$