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Title: Simplify the expression by using algebric identities

Grade: 9-a Lesson: S3-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: \$ x^2 + 4y^2 + 9z^2 + 4xy + 12yz + 6zx \$
2	Hint	Using Identity	\$ (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca \$
3	Step	After Using Identity	\$ x^2 + (2y)^2 + (3z)^2 + 2(x)(2y) + 2(2y)(3z) + 2(3z)(x) \$
4	Step	After Simplification	\$ ( x + 2y + 3z )^2 \$
5		Answer	A

Step

Type

Explanation

Answer

Problem

Simplify the expression:
\$ x^2 + 4y^2 + 9z^2 + 4xy + 12yz + 6zx \$

Hint

Using Identity

\$ (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca \$

Step

After Using Identity

\$ x^2 + (2y)^2 + (3z)^2 + 2(x)(2y) + 2(2y)(3z) + 2(3z)(x) \$

Step

After Simplification

\$ ( x + 2y + 3z )^2 \$

Answer