Question

HELP NEEDED NOW !!!! PLEASE

Select all statements that are true. Be prepared to explain your reasoning.

1. 4-2(3+7)=4-2•3-2•7
2. 4-2(3+7)=4+-2•3+-2•7
3. 4-2(3+7)=4-2•3+2•7
4. 4-2(3+7)= 4-(2•3+2•7)

Answer 1

1, 2, and 4 are true statements.

Explanation:

1. The positive symbols will become negative once you removed the parenthese. For instance, 2-(3+2)=2-3-2. It’s the same in this problem. 4-2(3+7)=4-(2•3+2•7)=4-2•3-2•7

2. Distributive property. 4-2(3+7)=4+[-2(3+7)]=4+(-2•3+-2•7)

3 is false because the positive symbol is not changed into negative symbol after the parentheses were removed.

4. 4-2(3+7)=4-[2(3+7)]=4-(2•3+2•7)