Chapter 8: Q4. (page 469)

Rewrite each expression using the Distributive Property. The simplify,
$- 6 (x^{2} - 5 x + 6)$

Short Answer

Expert verified

By the Distributive property the expression is simplified as:

$- 6 (x - 3) (x - 2)$

Step by step solution

Step 1. State the concept for distributive property.

The distributive property states that any expression with three numbers A, B and C, given in form $A (B + C)$ then it is resolved as $A \times (B + C) = A B + A C$ or $A (B - C) = A B - A C$ .

This means operand A is distributed among the other two operands.

This property is also known as the distributivity of multiplication over addition or subtraction.

Step 2. Rewrite the given expression.

Solving the given equation:
$\begin{matrix} - 6 (x^{2} - 5 x + 6) = - 6 (x^{2} - 3 x - 2 x + 6) \\ = - 6 (x (x - 3) - 2 (x - 3)) \\ = - 6 (x - 3) (x - 2) \end{matrix}$

Step 3. Conclusion.

Therefore, by the Distributive property the expression is simplified as:
$- 6 (x - 3) (x - 2)$

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Rewrite each expression using the Distributive Property. The simplify,
$- 6 (x^{2} - 5 x + 6)$

Short Answer

Step by step solution

Step 1. State the concept for distributive property.

Step 2. Rewrite the given expression.

Step 3. Conclusion.

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Rewrite each expression using the Distributive Property. The simplify,−6(x2−5x+6)

Short Answer

Step by step solution

Step 1. State the concept for distributive property.

Step 2. Rewrite the given expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Discrete Mathematics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Rewrite each expression using the Distributive Property. The simplify,
$- 6 (x^{2} - 5 x + 6)$