Chapter 7: Q56. (page 462)

Find the product.
${(2 r + 5 t)}^{2}$

Short Answer

Expert verified

The final answer is $4 r^{2} + 20 r t + 25 t^{2}$ .

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. Expand the identity, (a+b)2.

${(a + b)}^{2} = a^{2} + 2 a b + b^{2} \dots \dots \dots . (1)$

Step 3. Calculate the product (5x+4)2.

Use equation (1) to find the product.

$\begin{matrix} {(2 r + 5 t)}^{2} = {(2 r)}^{2} + 2 (2 r) (5 t) + {(5 t)}^{2} \\ = {(2)}^{2} {(r)}^{2} + 20 r t + {(5)}^{2} {(t)}^{2} \\ = 4 r^{2} + 20 r t + 25 t^{2} \end{matrix}$

Therefore, the final answer is $4 r^{2} + 20 r t + 25 t^{2}$ .

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Find the product.
${(2 r + 5 t)}^{2}$

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Expand the identity, (a+b)2.

Step 3. Calculate the product (5x+4)2.

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Find the product.(2r+5t)2

Short Answer

Step by step solution

Step 1. Define an expression.

Step 2. Expand the identity, (a+b)2.

Step 3. Calculate the product (5x+4)2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Probability and Statistics

Mechanics Maths

Applied Mathematics

Logic and Functions

Statistics

Study anywhere. Anytime. Across all devices.

Find the product.
${(2 r + 5 t)}^{2}$