please help me?

Question

1: (a + b)2 - 16(a + b) + 64
[(a + b )2 +8] [(a + b) - 8]
[(a + b) - 8] [(a + b) - 8]
[(a + b ) +8] [(a + b) - 8]


2: (a + b)2 + 14(a + b) + 49
[(a + b)- 7] [(a + b) - 7]
[(a + b)- 7] [(a + b) + 7]
[(a + b)+ 7] [(a + b) + 7]


3: (a + b)2 - 9(a + b) - 36
[(a + b) - 12] [(a + b) + 3]
[(a + b)- 12] [(a + b) - 2]
(x - 12) (x + 3)


4: (a + b)2 - 5(a + b) - 24
(x + 3)(x - 8)
[(a + b) + 3] [(a + b) - 8]
[(a + b)+ 3] [(a + b) + 8]


5: (a + b)2 - 24(a + b) + 144
[(a + b) - 12] [(a + b) - 12]
[(a + b) - 12] (x - 12)
(x - 12 ) [(a + b) - 12]


6: 3(a + b)2 - 18(a + b) - 216
3[(a + b) + 12]] [(a + b) - 6]
3(x - 12)(x + 6)
3[(a + b)- 12] [(a + b) + 6]


7: 81(a + b)2 - 180(a + b) + 100
[9(a + b) + 10)] [9(a + b) + 10]
[9(a + b) - 10] [9(a + b) - 10]
[9(a + b) - 11] [9(a + b) - 9]


8: 49(a + b)2 + 112(a + b) + 64
[7(a + b)+ 8] [7(a + b) + 8]
[(a + b)- 8] [7(a + b) - 8]
[7(a + b) + 16] [7(a + b) + 4]


9: 9(a + b)2 - 60(a + b) + 100
[3(a + b) - 30] [3(a + b) - 3]
[3(a + b) - 10] [3(a + b) + 10]
[3(a + b) - 10] [3(a + b) - 10]


10: 64(a + b)2 + 32(a + b) + 4
4[4(a + b) + 1] [4(a + b) + 1]
4[4(a + b) + 2] [4(a + b) + 2)]
4[4(a + b)2 + 2] [4(a + b)2 + 2]

Answer 1

Assuming it's a multiple-choice question.

1: (a + b)2 - 16(a + b) + 64
[(a + b) - 8] [(a + b) - 8]

The negative coefficient (-16) of (a+b) and positive constant (+64) tells us which to choose.

They're all fairly similar. In a pinch you could multiply each one out to see which answer yields the question. But that would take a long time. You can eliminate a lot of the answers by looking at the signs on the coefficient of the middle term and the constant, and comparing to the signs of the constant term in the various factored answers.


2: (a + b)2 + 14(a + b) + 49
[(a + b)+ 7] [(a + b) + 7]


3: (a + b)2 - 9(a + b) - 36
[(a + b) - 12] [(a + b) + 3]

4: (a + b)2 - 5(a + b) - 24
[(a + b) + 3] [(a + b) - 8]

5: (a + b)2 - 24(a + b) + 144
[(a + b) - 12] [(a + b) - 12]

6: 3(a + b)2 - 18(a + b) - 216
3[(a + b)- 12] [(a + b) + 6]

7: 81(a + b)2 - 180(a + b) + 100
[9(a + b) - 10] [9(a + b) - 10]

8: 49(a + b)2 + 112(a + b) + 64
[7(a + b)+ 8] [7(a + b) + 8]

9: 9(a + b)2 - 60(a + b) + 100
[3(a + b) - 10] [3(a + b) - 10]

10: 64(a + b)2 + 32(a + b) + 4
4[4(a + b) + 1] [4(a + b) + 1]

Just for the record, 10 problems is a lot of work for just one question. It would be better to break it up into questions of just 1-2 problems if you want more people to look at it and answer.