mathematics for senior level

Factor completely the expression
5y2 + 15y

A: 5(y2 + 3y)

B: y(5y + 15)

C: 5y(y + 3)

D: 20y3

Factor completely the expression
x5 – 81x

A: x(x4 – 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
2w4 – 162

A: 2(w2 + 3)(w2 – 27)

B: 2(w – 3)4

C: 2(w + 3)3(w – 3)

D: 2(w2 + 9)(w + 3)(w – 3)

Factor x3 + 125

A: (x + 5)(x2 + 5x + 25)

B: (x + 5)(x2 – 5x + 25)

C: (x – 5)(x2 + 5x + 25)

D: (x + 5)3

Factor 192z – 3z4

A: 3z(4 – z)(16 + 4z + z2)

B: 3z(4 + z)(16 – 4z + z2)

C: 3z(4 + z)(16 + 4z – z2)

D: 3z(4 – z)3

Factor the following:

16y2-25x2+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 a5 + a2b3 – a3b2 – b5

A: (a + b)3(a2 – ab + b2)

B: (a – b)3(a2 + ab + b2)

C: (a + b)2(a – b)(a2 – ab + b2)

D: (a – b)2(a + b)(a2 – ab + b2)

Factor completely the expression
768 – 3x4

A: 3(x2 + 16)(x + 4)(x – 4)

B: 3(16 + x2)(4 + x)(4 – x)

C: 3(4 + x2)2(4 – x2)2

D: (384 – x2)(2 + 3x2)

Factor 8y3 + 216

A: (2y + 3)(4y2 – 3y + 9)

B: 8(y + 3)2(y – 3)

C: 8(y + 3)(y2 – 3y + 9)

D: 8(y – 3)(y2 + 3y + 9)

Factor a6 – b6

A: (a3 – b3)2

B: (a2 + b2)(a2 – ab + b2)2

C: (a2 + b2)(a2 – ab + b2)(a2 + ab + b2)

D: (a + b)(a – b)(a2 – ab + b2)(a2 + ab + b2)

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