Math Problem Statement

(8x 2 +10)−(6x−2)

Solution

To solve the expression (8x2+10)(6x2)(8x^2 + 10) - (6x - 2), follow these steps:

  1. Distribute the negative sign across the second group: 8x2+106x+28x^2 + 10 - 6x + 2

  2. Combine like terms:

    • There is no other x2x^2 term, so 8x28x^2 remains as it is.
    • The linear term is 6x-6x.
    • The constants are 1010 and 22, which combine to 1212.

Thus, the simplified expression is: 8x26x+128x^2 - 6x + 12

Would you like more details on any step or have any further questions?

Here are 5 related questions:

  1. How would you solve the expression if it was (8x2+10)+(6x2)(8x^2 + 10) + (6x - 2)?
  2. How do you factor the expression 8x26x+128x^2 - 6x + 12?
  3. What is the result if you substitute x=1x = 1 into the expression 8x26x+128x^2 - 6x + 12?
  4. How do you solve the equation 8x26x+12=08x^2 - 6x + 12 = 0?
  5. Can you explain the difference between combining like terms and factoring?

Tip: Always pay attention to the signs when distributing across an expression, as it can change the entire outcome of the problem.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

-

Theorems

-

Suitable Grade Level

Grades 7-9