Math Problem Statement

Expand: (5 × 2)(2x^2 - 2)

Solution

To expand the given expression (5×2)(2x22)(5 \times 2)(2x^2 - 2), follow these steps:

  1. Simplify 5×25 \times 2: 5×2=105 \times 2 = 10

  2. Distribute 1010 across (2x22)(2x^2 - 2): 102x210210 \cdot 2x^2 - 10 \cdot 2

  3. Perform the multiplication: 20x22020x^2 - 20

Final Expanded Expression:

20x22020x^2 - 20

Would you like further clarification or additional examples?

Related Questions:

  1. What is the process for expanding binomial expressions like (a+b)(c+d)(a + b)(c + d)?
  2. How can distributive property be applied in polynomials?
  3. How is factoring related to expansion in algebra?
  4. What happens when you expand a trinomial instead of a binomial?
  5. How do you simplify expressions with coefficients and variables?

Tip: Always simplify coefficients first before applying distributive properties to save time and minimize errors.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Polynomial Expansion

Formulas

Distributive property: a(b + c) = ab + ac

Theorems

Distributive Property Theorem

Suitable Grade Level

Grades 7-9