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Step-3

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: \$ (4a^2 + 4a + 1)(4a^2 - 4a + 1) \$
2	Hint	Multiplying each other	\$ (4a^2)(4a^2 - 4a + 1) + (4a)(4a^2 - 4a + 1) + 1(4a^2 - 4a + 1) \$
3	Step	After Multiplication	\$ 16a^4 - 16a^3 + 4a^2 + 16a^3 - 16a^2 + 4a + 4a^2 - 4a + 1 \$
4	Step	Grouping like terms together	\$ 16a^4 + (-16a^3 + 16a^3) + (4a^2 - 16a^2 + 4a^2 ) + ( 4a - 4a) + 1 \$
5	Step	After Simplification	\$ 16a^4 - 8a^2 + 1 \$
6	Step	Answer	B

Step

Type

Explanation

Answer

Problem

Simplify the expression:
\$ (4a^2 + 4a + 1)(4a^2 - 4a + 1) \$

Hint

Multiplying each other

\$ (4a^2)(4a^2 - 4a + 1) + (4a)(4a^2 - 4a + 1) + 1(4a^2 - 4a + 1) \$

Step

After Multiplication

\$ 16a^4 - 16a^3 + 4a^2 + 16a^3 - 16a^2 + 4a + 4a^2 - 4a + 1 \$

Step

Grouping like terms together

\$ 16a^4 + (-16a^3 + 16a^3) + (4a^2 - 16a^2 + 4a^2 ) + ( 4a - 4a) + 1 \$

Step

After Simplification

\$ 16a^4 - 8a^2 + 1 \$

Step

Answer