Math Problem Statement

Subtract 8x + 4 from 5x^2 +4x

Solution

To subtract (8x+4)(8x + 4) from (5x2+4x)(5x^2 + 4x), follow these steps:

  1. Write the expression for subtraction: (5x2+4x)(8x+4)(5x^2 + 4x) - (8x + 4)

  2. Distribute the negative sign across the second expression: 5x2+4x8x45x^2 + 4x - 8x - 4

  3. Combine like terms:

    • Combine 4x4x and 8x-8x: 5x24x45x^2 - 4x - 4

So, the result is: 5x24x45x^2 - 4x - 4

Would you like further details or clarification?


Here are five related questions to deepen your understanding:

  1. How do you subtract polynomials with multiple variables?
  2. What happens if we add instead of subtract 8x+48x + 4 from 5x2+4x5x^2 + 4x?
  3. Can you factor the expression 5x24x45x^2 - 4x - 4?
  4. What is the degree of the resulting polynomial 5x24x45x^2 - 4x - 4?
  5. How do you find the roots of the polynomial 5x24x45x^2 - 4x - 4?

Tip: Always distribute negative signs carefully when subtracting polynomials to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Subtraction

Formulas

(a - b) = a + (-b)
Combining like terms

Theorems

Distributive Property

Suitable Grade Level

Grades 8-10