Factor the polynomial. 3x^6y^2+81y^2

A) 3y^2 (x^2+3) (x^4-3x^2-9)

B) 3y^2 (x^2-3) (x^4+3*+9)

C) prime polynomial

D) 3y^2 (x^2+3) (x^4-3x^2+9)

Question

Mathematics

Lainey Galloway

25 March, 17:40

Factor the polynomial. 3x^6y^2+81y^2

A) 3y^2 (x^2+3) (x^4-3x^2-9)

B) 3y^2 (x^2-3) (x^4+3*+9)

C) prime polynomial

D) 3y^2 (x^2+3) (x^4-3x^2+9)

+4

Answers (2)

Know the Answer?

Case Torres · Answer 1

3x ⁶ y ² + 81y ² =

3y² (x⁶+27) =

3y² ((x²) ³+3³) =

3y² (x²+3) (x⁴-3x²+9)

Answer: D.

Beatrice Soto · Answer 2

Answer is choice D

The reason why is ...

3x^6y^2 + 81y^2 = 3y^2 (x^6 + 27)

3x^6y^2 + 81y^2 = 3y^2 ((x^2) ^3 + 3^3)

3x^6y^2 + 81y^2 = 3y^2 (x^2 + 3) ((x^2) ^2 - (x^2) * 3 + 3^2)

3x^6y^2 + 81y^2 = 3y^2 (x^2 + 3) (x^4 - 3x^2 + 9)

Factor the polynomial. 3x^6y^2+81y^2A) 3y^2 (x^2+3) (x^4-3x^2-9)B) 3y^2 (x^2-3) (x^4+3*+9)C) prime polynomialD) 3y^2 (x^2+3) (x^4-3x^2+9)

Factor the polynomial. 3x^6y^2+81y^2

A) 3y^2 (x^2+3) (x^4-3x^2-9)

B) 3y^2 (x^2-3) (x^4+3*+9)

C) prime polynomial

D) 3y^2 (x^2+3) (x^4-3x^2+9)