Factor the following polynomials: 1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27

Step-by-step explanation:

1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]

=> 25(4a²-b²)

=> 25(2a-b)(2a+b).

2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]

=> m³+5³ => (m+5)(m²-5m+25).

3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]

=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)

4. x² - 8x + 12 [middle term breaking)

=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)

5. b² - 6b - 27 [ middle term breaking]

=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).

hope this helps you.

step-by-step explanation:

your mom

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.