Algebra

Factor the polynomial completely. 2x^5y - 162x^3y

Holt McDougal Larson Algebra 1 Common Core Edition page 552 number 38

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2x^5y - 162x^3y

2x^3 y ( x^2-81)

2x^3y (x )(x ) ( +9)( -9)

2x^3y (x+9)(x-9)

Check:

2x^3y (x+9)(x-9)

2x^3y (x)(x) (x)(-9) (+9)(x) (+9)(-9)

2x^3y x^2 -9x +9x -81

2x^3y(x^2-81)