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Step-5

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+2y+3z)^2 \$
2	Hint	Using Identity	\$ (a+b+c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca \$
3	Hint	After using identity	\$ x^2 + (2y)^2 + (3z)^2 + 2(x)(2y) + 2(2y)(3z) + 2(3z)(x) \$
4	Step	After Simplification we get	\$ x^2 + 4y^2 + 9z^2 + 4xy + 12yz + 6zx \$
5		Answer	D

Step

Type

Explanation

Answer

Problem

Simplify the expression:
\$ (x+2y+3z)^2 \$

Hint

Using Identity

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

Hint

After using identity

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

Step

After Simplification we get

\$ x^2 + 4y^2 + 9z^2 + 4xy + 12yz + 6zx \$

Answer