Chapter 5: Q10. (page 231)

Simplify $2 p^{2} q (5 p q - 3 p^{3} q^{2} + 4 p q^{4})$ .

Short Answer

Expert verified

The simplified value of expression is $10 p^{3} q^{2} - 6 p^{5} q^{3} + 8 p^{3} q^{5}$ .

Step by step solution

Step 1. Write down the given expression.

The given expression to simplify is $2 p^{2} q (5 p q - 3 p^{3} q^{2} + 4 p q^{4})$ .

Step 2. Simplify the given expression.

Simplifying $2 p^{2} q (5 p q - 3 p^{3} q^{2} + 4 p q^{4})$ gives,

$\begin{matrix} 2 p^{2} q (5 p q - 3 p^{3} q^{2} + 4 p q^{4}) = (2 p^{2} q) (5 p q) - (2 p^{2} q) (3 p^{3} q^{2}) + (2 p^{2} q) (4 p q^{4}) \\ = 10 p^{2 + 1} q^{1 + 1} - 6 p^{2 + 3} q^{1 + 2} + 8 p^{2 + 1} q^{1 + 4} \\ = 10 p^{3} q^{2} - 6 p^{5} q^{3} + 8 p^{3} q^{5} \end{matrix}$

Step 3. Conclusion.

The simplified value of expression is $10 p^{3} q^{2} - 6 p^{5} q^{3} + 8 p^{3} q^{5}$

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Simplify $2 p^{2} q (5 p q - 3 p^{3} q^{2} + 4 p q^{4})$ .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the given expression.

Step 3. Conclusion.

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Simplify2p2q(5pq−3p3q2+4pq4) .

Short Answer

Step by step solution

Step 1. Write down the given expression.

Step 2. Simplify the given expression.

Step 3. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Mechanics Maths

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Calculus

Study anywhere. Anytime. Across all devices.

Simplify $2 p^{2} q (5 p q - 3 p^{3} q^{2} + 4 p q^{4})$ .