Chapter 1: Q46. (page 64)

Rewrite each expression using the distributive property. Then simplify.
$- 4 (5 - 2 t)$

Short Answer

Expert verified

The simplified expression is $8 t - 20$ .

Step by step solution

Step 1. Distributive property.

If $a, b$ and $c$ are three real numbers then $a \cdot (b + c) = a \cdot b + a \cdot c$

Step 2. Application of distribution property.

Apply the distributive property to get

$- 4 (5 - 2 t) = (- 4) (5 + (- 2 t)) = (- 4) \cdot 5 + (- 4) \cdot (- 2 t) [By Distribution property]$

Step 3. Simplifying the expression.

Simplify further by multiplying the numbers to get

$(- 4) \cdot 5 + (- 4) \cdot (- 2 t) = - 20 + 8 t = 8 t - 20$

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Rewrite each expression using the distributive property. Then simplify.
$- 4 (5 - 2 t)$

Short Answer

Step by step solution

Step 1. Distributive property.

Step 2. Application of distribution property.

Step 3. Simplifying the expression.

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Rewrite each expression using the distributive property. Then simplify.-45-2t

Short Answer

Step by step solution

Step 1. Distributive property.

Step 2. Application of distribution property.

Step 3. Simplifying the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Pure Maths

Theoretical and Mathematical Physics

Applied Mathematics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Rewrite each expression using the distributive property. Then simplify.
$- 4 (5 - 2 t)$