Factored and Expanded Form

Factor out the GCF:
12x + 6

• 6(2x + 1)
• 3(4x + 2)
• 6x(2x + 1)
• 2(6x + 3)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

2x³-8x²-x+4

• (2x²-1)(x-4)
• 2(x²-1)(x+4)
• (x²-1)(2x-4)
• (2x²+1)(x-4)

• this cannot be factored any further

• (2x+1)5x²-3

• (2x+1)(5x²)

• (5x²-3)(2x+1)

Expand (g + 4)(g + 5)

• g² + 9g + 20

• g² + 20

• g² + 9g + 9

• g² + 11g + 20

Simplify:

(x-7)²

• x²-49

• x²+49

• x²-14x+49

• x²-14x-49

Expand (3x – 1)(x + 5)

• 3x² + 4x + 5

• 3x² + 4x - 5

• 3x² + 14x + 5

• 3x² + 14x - 5

Expand (x + 5)²

• x² + 25

• x² + 10x + 25

• x² + 10 x + 10

• x² + 10