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Given the expression: 5x10 − 80x2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B:Factor the entire expression completely. Show the steps of your work. (6 points)

Answer :

MALIABEGUM113GO

Answer:

Part A: 5x^10−80x^2

Part B: 5x^2(x^4+4)(x^2+2)(x^2−2)

Step-by-step explanation:

Factor 5x^10−80x^2

5x^10−80x^2

=5x^2(x^4+4)(x^2+2)(x^2−2)

[tex]\\ \sf\longmapsto 5x^10-80x^2[/tex]

  • Take 5common

[tex]\\ \sf\longmapsto 5(x^10-16x^2)[/tex]

  • Take x^2 common

[tex]\\ \sf\longmapsto 5(x^2(x^8-16))[/tex]

  • Multiply

[tex]\\ \sf\longmapsto 5x^2(x^8-16)[/tex]

Break down

[tex]\\ \sf\longmapsto 5x^2(x^4+4)(x^2+2)(x^2+2)[/tex]

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