Chapter 7: Q49. (page 462)

Find the product.
$(3 r - 7 t) (2 r + 5 t)$

Short Answer

Expert verified

The final answer is $6 r^{2} + r t - 35 t^{2}$ .

Step by step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define the power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

$a^{m} . a^{n} = a^{m + n}$

Where, $a$ is any non-zero real number.

Step 3. Calculate the product (3r−7t)(2r+5t).

Use the power of a product rule to find the product.

$\begin{matrix} (3 r - 7 t) (2 r + 5 t) = 3 r (2 r + 5 t) - 7 t (2 r + 5 t) \\ = 3 r (2 r) + 3 r (5 t) - 7 t (2 r) - 7 t (5 t) \\ = 6 r^{2} + 15 r t - 14 r t - 35 t^{2} \\ = 6 r^{2} + r t - 35 t^{2} \end{matrix}$

Therefore, the final answer is $6 r^{2} + r t - 35 t^{2}$ .

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Find the product.
$(3 r - 7 t) (2 r + 5 t)$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the power of a product rule.

Step 3. Calculate the product (3r−7t)(2r+5t).

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Find the product.(3r−7t)(2r+5t)

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Define the power of a product rule.

Step 3. Calculate the product (3r−7t)(2r+5t).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Theoretical and Mathematical Physics

Decision Maths

Probability and Statistics

Logic and Functions

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Study anywhere. Anytime. Across all devices.

Find the product.
$(3 r - 7 t) (2 r + 5 t)$