Factor completely the expression

5y^{2} + 15y

A: 5(y^{2} + 3y)

B: y(5y + 15)

C: 5y(y + 3)

D: 20y^{3}

Factor completely the expression

x^{5} – 81x

A: x(x^{4} – 81)

B: x(x² + 9)(x² – 9)

C: x(x + 3)³(x – 3)

D: x(x² + 9)(x + 3)(x – 3)

Factor completely the expression

2w^{4} – 162

A: 2(w^{2} + 3)(w^{2} – 27)

B: 2(w – 3)^{4}

C: 2(w + 3)^{3}(w – 3)

D: 2(w^{2} + 9)(w + 3)(w – 3)

Factor x^{3} + 125

A: (x + 5)(x^{2} + 5x + 25)

B: (x + 5)(x^{2} – 5x + 25)

C: (x – 5)(x^{2} + 5x + 25)

D: (x + 5)^{3}

Factor 192z – 3z^{4}

A: 3z(4 – z)(16 + 4z + z^{2})

B: 3z(4 + z)(16 – 4z + z^{2})

C: 3z(4 + z)(16 + 4z – z^{2})

D: 3z(4 – z)^{3}

Factor the following:

16y^{2}-25x^{2}+10x-1

A: (4y-5x)(4y+5x)

B: (4y-5x+1)(4y+5x+1)

C: (16y-5x)(4y+25x)

D: (4y-5x+1)(4y+5x-1)

Factor a^{5} + a^{2}b^{3} – a^{3}b^{2} – b^{5}

A: (a + b)^{3}(a^{2} – ab + b^{2})

B: (a – b)^{3}(a^{2} + ab + b^{2})

C: (a + b)^{2}(a – b)(a^{2} – ab + b^{2})

D: (a – b)^{2}(a + b)(a^{2} – ab + b^{2})

Factor completely the expression

768 – 3x^{4}

A: 3(x^{2} + 16)(x + 4)(x – 4)

B: 3(16 + x^{2})(4 + x)(4 – x)

C: 3(4 + x^{2})^{2}(4 – x^{2})^{2}

D: (384 – x^{2})(2 + 3x^{2})

Factor 8y^{3} + 216

A: (2y + 3)(4y^{2} – 3y + 9)

B: 8(y + 3)^{2}(y – 3)

C: 8(y + 3)(y^{2} – 3y + 9)

D: 8(y – 3)(y^{2} + 3y + 9)

Factor a^{6} – b^{6}

A: (a^{3} – b^{3})^{2}

B: (a^{2} + b^{2})(a^{2} – ab + b^{2})^{2}

C: (a^{2} + b^{2})(a^{2} – ab + b^{2})(a^{2} + ab + b^{2})

D: (a + b)(a – b)(a^{2} – ab + b^{2})(a^{2} + ab + b^{2})