Question

Can you please help me I'm kinda stuck with this problem

Answer 1

Answer:

$-3x^{2} -5x+2$

Step-by-step explanation:

I'm assuming the original problem is to simplify the expression $-2x(x+3)-(x+1)(x-2)$.

Step 1: Multiply (x+3) by -2x

$-2x(x+3)=(-2x*x)+(-2x*3) = -2x^{2} -6x$

The expression becomes $-2x^{2} -6x-(x+1)(x-2)$

Step 2: Simplify (x+1)(x-2)

The easiest way to simplify this is to use the "FOIL" method.

(x+1)(x-2)

F = x*x

O = x*(-2)

I = 1*x

L = 1*(-2)

F+O+I+L=$x^{2} -2x+x-2=x^{2} -x-2$

The expression becomes $-2x^{2} -6x-(x^{2} -x-2)$

Step 3: Multiply $x^{2} -x-2$ by -1:

$(-1)(x^{2} -x-2)=-x^{2} +x+2$

The expression becomes $-2x^{2} -6x-x^{2} +x+2$

Step 4: Combine like terms

$-2x^{2} -x^{2} =-3x^{2}$

$-6x+x=-5x$

The expression becomes $-3x^{2} -5x+2$