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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Division of Expressions

Grade: 8-b Lesson: S4-L10

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	\$ (m^2-12m+32) / (m-4) \$
2	Comparing the numerator with expression \$x^2+(a+b)x+ab\$	\$ (m^2-8m-4m+32) / (m-4) \$
3	In numeraror, common factor of first two terms is’m' and next two terms is '-4' taking out	\$(m(m-8)-4(m-8))/((m-4))\$ \$((m-8)(m-4))/((m-4))\$
4	Cancel the common expressions	\$ ((m-8)\cancel((m-4))) / (\cancel((m-4))) \$
5	After cancellation	\$ (m-8) \$
6	Answer	D = \$ (m-8) \$

Steps

Problem

Solution

Given that

\$ (m^2-12m+32) / (m-4) \$

Comparing the numerator with expression \$x^2+(a+b)x+ab\$

\$ (m^2-8m-4m+32) / (m-4) \$

In numeraror, common factor of first two terms is’m' and next two terms is '-4' taking out

\$(m(m-8)-4(m-8))/((m-4))\$

\$((m-8)(m-4))/((m-4))\$

Cancel the common expressions

\$ ((m-8)\cancel((m-4))) / (\cancel((m-4))) \$

After cancellation

\$ (m-8) \$

Answer

D = \$ (m-8) \$