Problem(6x2−7x+5)−(4x2+3x−8)(6𝑥2−7𝑥+5)−(4𝑥2+3𝑥−8) SolutionFirst, you want to remove the parentheses. Because this is a subtraction problem, it is like there is a −1 in front of the second set of parentheses.1(6x2−7x+5)+(−1)(4x2+3x−8)1(6𝑥2−7𝑥+5)+(−1)(4𝑥2+3𝑥−8)When you distribute a −1, each term inside that set of parentheses will change its sign. We can also drop the parentheses in this step.=6x2−7x+5−4x2−3x+8=6𝑥2−7𝑥+5−4𝑥2−3𝑥+8Next, combine like terms. You can start with rearranging them so that like terms are together. Remember to keep the signs with the correct terms.=6x2−4x2−7x−3x+5+8=6𝑥2−4𝑥2−7𝑥−3𝑥+5+8== x2−𝑥2− x+𝑥+
Question
Problem(6x2−7x+5)−(4x2+3x−8)(6𝑥2−7𝑥+5)−(4𝑥2+3𝑥−8) SolutionFirst, you want to remove the parentheses. Because this is a subtraction problem, it is like there is a −1 in front of the second set of parentheses.1(6x2−7x+5)+(−1)(4x2+3x−8)1(6𝑥2−7𝑥+5)+(−1)(4𝑥2+3𝑥−8)When you distribute a −1, each term inside that set of parentheses will change its sign. We can also drop the parentheses in this step.=6x2−7x+5−4x2−3x+8=6𝑥2−7𝑥+5−4𝑥2−3𝑥+8Next, combine like terms. You can start with rearranging them so that like terms are together. Remember to keep the signs with the correct terms.=6x2−4x2−7x−3x+5+8=6𝑥2−4𝑥2−7𝑥−3𝑥+5+8== x2−𝑥2− x+𝑥+
Solution
The problem seems to be a bit jumbled, but I believe you're asking for the solution to the following equation: (6x^2 - 7x + 5) - (4x^2 + 3x - 8). Here's how you can solve it:
Step 1: Remove the parentheses. Because this is a subtraction problem, it's like there is a -1 in front of the second set of parentheses. So, the equation becomes:
6x^2 - 7x + 5 - 1*(4x^2 + 3x - 8)
Step 2: Distribute the -1 to each term inside the second set of parentheses. This will change the sign of each term. The equation now becomes:
6x^2 - 7x + 5 - 4x^2 - 3x + 8
Step 3: Combine like terms. Rearrange the equation so that like terms are together. Remember to keep the signs with the correct terms. The equation now becomes:
(6x^2 - 4x^2) + (-7x - 3x) + (5 + 8)
Step 4: Simplify each group of like terms:
2x^2 - 10x + 13
So, the solution to the equation (6x^2 - 7x + 5) - (4x^2 + 3x - 8) is 2x^2 - 10x + 13.
Similar Questions
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