Question

2 use distribution to simplify the expression -3(4x - 7) your answer 3 what is the greatest (largest) common factor of 18 and 72 your answer 4 what is the greatest (largest) common factor of 48 and 62 your answer

Explanation:

Step1: Apply distributive property

$-3(4x - 7)=(-3)\times4x-(-3)\times7$
$=-12x + 21$

Step2: Find factors of 18 and 72

The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. The greatest common factor is 18.

Step3: Find factors of 48 and 62

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The factors of 62 are 1, 2, 31, 62. The greatest common factor is 2.

Answer:

1. $-12x + 21$
2. 18
3. 2