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Subtract -6x^4-3x^2y^2+5y^4−6x

4

−3x

2

y

2

+5y

4

minus, 6, x, start superscript, 4, end superscript, minus, 3, x, squared, y, squared, plus, 5, y, start superscript, 4, end superscript from 2x^4-8x^2y^2-y^42x

4

−8x

2

y

2

−y

4

Respuesta :

Answer:

[tex]8x^4-5x^2y^2-6y^4+6x[/tex]

Step-by-step explanation:

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

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

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

[tex][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[/tex]

Step 2: Collect like terms

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

Step 3: Simplify

[tex]8x^4-5x^2y^2-6y^4+6x[/tex]

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