If B, equals, 1, minus, 6, w, squaredB=1−6w 
2
  and A, equals, 1, plus, w, commaA=1+w, find an expression that equals 2, B, minus, A2B−A in standard form.

To find the expression for \( 2B - A \) in standard form, let's break down the problem:

### Step 1: Expressions for \( B \) and \( A \)
You are given:

\[
B = 1 - 6w^2
\]
\[
A = 1 + w
\]

### Step 2: Multiply \( B \) by 2
Now, calculate \( 2B \):

\[
2B = 2(1 - 6w^2) = 2 - 12w^2
\]

### Step 3: Subtract \( A \) from \( 2B \)
Next, subtract \( A \) from \( 2B \):

\[
2B - A = (2 - 12w^2) - (1 + w)
\]

Distribute the negative sign:

\[
2B - A = 2 - 12w^2 - 1 - w
\]

### Step 4: Simplify the expression
Now, combine like terms:

\[
2B - A = (2 - 1) - 12w^2 - w
\]
\[
2B - A = 1 - 12w^2 - w
\]

### Final Answer:
The expression in standard form is:

\[
2B - A = 1 - 12w^2 - w
\]

---

Would you like any further clarification or details on this? Here are some related questions to explore:

1. How do you simplify an expression with multiple variables?
2. What is the difference between a quadratic term and a linear term in algebra?
3. How can you factor quadratic expressions like \( 12w^2 \)?
4. How does multiplying an expression affect the order of operations?
5. What strategies can you use to check your work in algebra?

**Tip:** When simplifying expressions, always group similar terms like constants, linear terms, and quadratic terms to make the process more efficient.

If B = 1 - 6w^2 and A = 1 + w, find an expression that equals 2B - A in standard form.

Learn how to simplify the expression 2B - A when B = 1 - 6w^2 and A = 1 + w. This step-by-step guide covers key algebraic concepts like quadratic expressions, simplification, and combining like terms. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation