Answer :
To simplify the given expression:
[tex]\[ -4x^2 + 2x - 5(1 + x) \][/tex]
First, distribute [tex]\(-5\)[/tex] to both terms inside the parenthesis:
[tex]\[ -5(1 + x) = -5 - 5x \][/tex]
Now substitute back into the expression:
[tex]\[ -4x^2 + 2x - 5 - 5x \][/tex]
Combine like terms:
[tex]\[ -4x^2 + (2x - 5x) - 5 = -4x^2 - 3x - 5 \][/tex]
So, the equivalent expression is:
[tex]\[ -4x^2 - 3x - 5 \][/tex]
In the format requested:
[tex]\[ -4 \quad -3 \quad -5 \][/tex]
[tex]\[ -4x^2 + 2x - 5(1 + x) \][/tex]
First, distribute [tex]\(-5\)[/tex] to both terms inside the parenthesis:
[tex]\[ -5(1 + x) = -5 - 5x \][/tex]
Now substitute back into the expression:
[tex]\[ -4x^2 + 2x - 5 - 5x \][/tex]
Combine like terms:
[tex]\[ -4x^2 + (2x - 5x) - 5 = -4x^2 - 3x - 5 \][/tex]
So, the equivalent expression is:
[tex]\[ -4x^2 - 3x - 5 \][/tex]
In the format requested:
[tex]\[ -4 \quad -3 \quad -5 \][/tex]