Math Problem Statement

Subtract: (28a2-10) - (ба² - 26+6)

A. 28a2+5a²-26-10+6

B. 28a5a²-26-10+6

C. 28a25a²+26-10-6

D. 28a25a²+26-10+6

Solution

Let's subtract the expressions: (28a210)(5a226+6)(28a^2 - 10) - (5a^2 - 26 + 6).

Step-by-step solution:

  1. Distribute the negative sign across the second expression: (28a210)(5a226+6)=28a2105a2+266(28a^2 - 10) - (5a^2 - 26 + 6) = 28a^2 - 10 - 5a^2 + 26 - 6

  2. Simplify the expression by combining like terms:

    • Combine the a2a^2 terms: 28a25a2=23a228a^2 - 5a^2 = 23a^2
    • Combine the constants: 10+266=10-10 + 26 - 6 = 10
  3. The simplified expression is: 23a2+1023a^2 + 10

Now, let's compare with the options:

  • A: 28a2+5a22610+628a^2 + 5a^2 - 26 - 10 + 6 (incorrect)
  • B: 28a5a22610+628a5a^2 - 26 - 10 + 6 (incorrect)
  • C: 28a25a2+2610628a25a^2 + 26 - 10 - 6 (incorrect)
  • D: 28a25a2+2610+628a25a^2 + 26 - 10 + 6 (incorrect)

None of the given options matches the correct result, 23a2+1023a^2 + 10.

Would you like further details, or to ask additional questions?


Related Questions:

  1. How do you distribute a negative sign in subtraction problems like this one?
  2. What are the steps to combine like terms effectively?
  3. Can subtraction of polynomials result in eliminating certain variables completely?
  4. How does subtracting constants from an expression affect its overall result?
  5. What other operations can be combined with subtraction in polynomial equations?

Tip: Always distribute the negative sign carefully across all terms in parentheses to avoid mistakes.

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Math Problem Analysis

Mathematical Concepts

Algebra
Polynomial Subtraction
Simplification of Expressions

Formulas

Distributive Property of Subtraction
Combining Like Terms

Theorems

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Suitable Grade Level

Grades 8-10