Math Problem Statement

-4(-2a+b)

Solution

Let's simplify the expression:

4(2a+b)-4(-2a + b)

  1. Distribute the 4-4 to both terms inside the parentheses:

=(4)×(2a)+(4)×b= (-4) \times (-2a) + (-4) \times b

  1. Simplify each term:

=8a4b= 8a - 4b

So, the simplified expression is:

8a4b8a - 4b

Would you like more details or have any other questions?

Here are 5 related questions to explore:

  1. How do you factor expressions like 8a4b8a - 4b?
  2. Can you simplify an expression with multiple variables, like 3x4(y+2z)3x - 4(-y + 2z)?
  3. What happens when you distribute a fraction, like 12(4a6b)\frac{1}{2}(4a - 6b)?
  4. How do you handle expressions with powers, such as 2(x2+y)2(-x^2 + y)?
  5. What is the distributive property and how is it used in algebra?

Tip: When distributing, remember to multiply both the coefficient and the sign!

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Simplification

Formulas

a(b + c) = ab + ac

Theorems

Distributive Property

Suitable Grade Level

Grades 6-8