Chapter 7: Q40. (page 461)

Find the given difference.
$(6 a b + 3 b^{2}) - (3 a b - 2 b^{2})$

Short Answer

Expert verified

The final answer is $5 b^{2} + 3 a b$ .

Step by step solution

Step 1. Define standard form of a polynomial.

The standard form of a polynomial means, writing the polynomial in descending powers of the variable.

Step 2. Define like and unlike terms.

In algebra, like terms are the terms that have the same variables and powers.

The unlike terms are two or more terms that are not like terms.

Step 3. Find the sum, (6ab+3b2)−(3ab−2b2).

Simplify the given difference by combining the like terms.

$\begin{matrix} (6 a b + 3 b^{2}) - (3 a b - 2 b^{2}) = 6 a b + 3 b^{2} - 3 a b + 2 b^{2} \\ = 3 b^{2} + 2 b^{2} - 3 a b + 6 a b \\ = 5 b^{2} + 3 a b \end{matrix}$

Therefore the final answer is $5 b^{2} + 3 a b$ .

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Find the given difference.
$(6 a b + 3 b^{2}) - (3 a b - 2 b^{2})$

Short Answer

Step by step solution

Step 1. Define standard form of a polynomial.

Step 2. Define like and unlike terms.

Step 3. Find the sum, (6ab+3b2)−(3ab−2b2).

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Find the given difference.(6ab+3b2)−(3ab−2b2)

Short Answer

Step by step solution

Step 1. Define standard form of a polynomial.

Step 2. Define like and unlike terms.

Step 3. Find the sum, (6ab+3b2)−(3ab−2b2).

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Decision Maths

Statistics

Calculus

Geometry

Probability and Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Find the given difference.
$(6 a b + 3 b^{2}) - (3 a b - 2 b^{2})$