Question

Expand and simplify: 4(3√7 - 5)

Options:
a) 12√7 - 20
b) 12√7 - 9
c) 4√7 - 5
d) 12√7 - 25

Answer 1

The expanded and simplified form of 4(3√7 - 5) is 12√7 - 20. The multiplication is done for each term inside the parentheses by the factor outside, with no further simplification required.

Step-by-step explanation:

To expand and simplify the expression 4(3√7 - 5), distribute the 4 to both terms inside the parentheses:

1. 
   
3. Multiply 4 by 3√7 to get 12√7.
4. 
   
6. Multiply 4 by -5 to get -20.

Combining these results gives the simplified expression 12√7 - 20, which corresponds to option a).

It is important to multiply each term inside the parentheses by the factor outside, and then combine like terms if any are available. In this case, no like terms are present, so the expression is already simplified.