Simplifying the Expression (-7x + 5) - (2x^2 - 8x + 6)
In mathematics, simplifying expressions means rewriting them in a more compact and manageable form. Let's simplify the expression (-7x + 5) - (2x^2 - 8x + 6).
Step 1: Distribute the Negative Sign
The minus sign in front of the parentheses means we multiply each term inside the second parentheses by -1:
(-7x + 5) -1(2x^2 - 8x + 6)
This gives us:
-7x + 5 - 2x^2 + 8x - 6
Step 2: Combine Like Terms
Now, we combine terms with the same variable and exponent:
-2x^2 + (-7x + 8x) + (5 - 6)
Step 3: Simplify
Finally, we combine the coefficients:
-2x^2 + x - 1
Therefore, the simplified form of the expression (-7x + 5) - (2x^2 - 8x + 6) is -2x^2 + x - 1.