c) 6 15 6 16 4 3 2 x  x  x  x  factor fully

1 answer

To factor the expression fully, we need to find all the factors of each term and then group them accordingly.

Term: 6
Factors: 1, 2, 3, 6

Term: 15
Factors: 1, 3, 5, 15

Term: 6
Factors: 1, 2, 3, 6

Term: 16
Factors: 1, 2, 4, 8, 16

Term: 4
Factors: 1, 2, 4

Term: 3
Factors: 1, 3

Term: 2
Factors: 1, 2

Now, let's group the factors:

Common factors: 1

Group 1: 1, 2, 3
Group 2: 1, 3, 5
Group 3: 1, 2, 3
Group 4: 1, 2, 4, 8, 16
Group 5: 1, 2, 4
Group 6: 1, 3
Group 7: 1, 2

Now let's rewrite the expression with the factors:

1(2)(3)(1 + 3)(1 + 2)(4 + 8 + 16)(1 + 2 + 4)(1 + 3 + 5)

Simplifying the groups, we get:

6(4)(4)(4)(6)(28)(7)(9)

Combining like terms, we have:

6 * 4 * 4 * 4 * 6 * 28 * 7 * 9

Multiplying all the terms together, we get:

48 * 6 * 28 * 7 * 9

Evaluating the expression, we get the final answer:

26,262