(-7x+5)-(2x^2-8x+6)

less than a minute read Jun 16, 2024
(-7x+5)-(2x^2-8x+6)

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.

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