Question

which one of theses answer is equal to - 8x -20

(−4×2x)+(−4×5)
open paren negative 4 times 2 x close paren plus open paren negative 4 times 5 close paren

(−4÷2x)+(−4÷5)
open paren negative 4 divided by 2 x close paren plus open paren negative 4 divided by 5 close paren

(−4−2x)+(−4−5)
open paren negative 4 minus 2 x close paren plus open paren negative 4 minus 5 close paren

(−4+2x)×(−4+5)

Answer 1

To determine which of the given expressions is equal to -8x - 20, we can simplify each option.

1. **Option 1: \((-4 \times 2x) + (-4 \times 5)\)**
\[
= -8x - 20
\]

2. **Option 2: \((-4 \div 2x) + (-4 \div 5)\)**
This expression simplifies to:
\[
= -\frac{4}{2x} - \frac{4}{5} = -\frac{2}{x} - \frac{4}{5}
\]
This does not equal -8x - 20.

3. **Option 3: \((-4 - 2x) + (-4 - 5)\)**
Simplifying this, we get:
\[
= -4 - 2x - 4 - 5 = -2x - 13
\]
This does not equal -8x - 20.

4. **Option 4: \((-4 + 2x) \times (-4 + 5)\)**
This simplifies to:
\[
= (-4 + 2x)(1) = -4 + 2x
\]
This does not equal -8x - 20.

The only expression that is equal to -8x - 20 is **Option 1**: \((-4 \times 2x) + (-4 \times 5)\).