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Step-5

Title: Factorize

Grade: 9-a Lesson: S2-L2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Simplify the expression: \$ 100a^2 + 110ab - 121b^2 - 110ab \$
2	Step	This is in the form of	\$a^2 - b^2 = (a + b)(a - b) = a^2 - ab + ab - b^2 \$
3	Step	by substituting	\$ 100a^2 + (10a)(11b) - 121b^2 - (10a)(11b)\$
4	Formula:	By using formula	\$(a^2 - b^2) \$
5	Step	by simplifying	\$ (10a)^2 - (11b)^2 \$
6		Answer	D

Step

Type

Explanation

Answer

Problem

Simplify the expression:
\$ 100a^2 + 110ab - 121b^2 - 110ab \$

Step

This is in the form of

\$a^2 - b^2 = (a + b)(a - b) = a^2 - ab + ab - b^2 \$

Step

by substituting

\$ 100a^2 + (10a)(11b) - 121b^2 - (10a)(11b)\$

Formula:

By using formula

\$(a^2 - b^2) \$

Step

by simplifying

\$ (10a)^2 - (11b)^2 \$

Answer