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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Division of Expressions

Grade: 8-b Lesson: S4-L9

Explanation: Hello Students, time to practice and review the steps. Let us take next 2-5 minutes to solve the steps for the problems. This is a good exercise to check your understanding of the concepts.Second student to identify and review important steps.Focus on understanding the concepts and application to solving problems step by step.

Lesson Steps

Steps	Problem	Solution
1	Given that	\$ (5m^3n-10mn^3) / (mn) \$
2	Common factors between the numerator and denominator	\$ mn \$
3	Taking 'mn' as a common factor in the expression, we get	\$(mn(5m^2-10n^2))/mn\$
4	Cancel the terms which are common to both numerator and denominator	\$ (\cancel(mn)(5m^2-10n^2)) / (\cancel(mn)) \$
5	After cancellation	\$ (5m^2-10n^2) \$ \$5(m^2-2n^2)\$
6	Answer	D = \$ 5(m^2-2n^2) \$

Steps

Problem

Solution

Given that

\$ (5m^3n-10mn^3) / (mn) \$

Common factors between the numerator and denominator

\$ mn \$

Taking 'mn' as a common factor in the expression, we get

\$(mn(5m^2-10n^2))/mn\$

Cancel the terms which are common to both numerator and denominator

\$ (\cancel(mn)(5m^2-10n^2)) / (\cancel(mn)) \$

After cancellation

\$ (5m^2-10n^2) \$

\$5(m^2-2n^2)\$

Answer

D = \$ 5(m^2-2n^2) \$