Question

Simplify$(x^2-4x+3)-(4x^2+3x-5)$ .

Short answer

The simplified value of expression is$(x^2-4x+3)-(4x^2+3x-5)=-3x^2-7x+8$$(x^2-4x+3)-(4x^2+3x-5)=-3x^2-7x+8$.

Step-by-step solution

Step 1. Write down the given expression.

The given expression to simplify is $(x^2-4x+3)-(4x^2+3x-5)$.

Step 2. Simplify the given expression.

Simplifying $(x^2-4x+3)-(4x^2+3x-5)$ gives,

$\begin{array}{c}(x^2-4x+3)-(4x^2+3x-5)=x^2-4x+3-4x^2-3x+5\\ =(x^2-4x^2)+(-4x-3x)+(3+5)\\ =-3x^2-7x+8\end{array}$

Step 3. Conclusion.

The simplified value of expression is $(x^2-4x+3)-(4x^2+3x-5)=-3x^2-7x+8$.