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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)

1 answer

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: \((-4 \times 2x) + (-4 \times 5)\).