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Step-1

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	Factorize: \$ 64x^3 - 48x^2y + 36xy^2 + 48x^2y - 36xy^2 + 27y^3 \$
2	Step	This is in the form of	\$a^3+b^3 = (a+b)(a^2-ab+b^2) \$
3	Step	substuting the values	\$ (4x + 3y)(16x^2 - 12xy + 9y^2) \$
4	Formula:	By using formula	\$(a^3+b^3) \$
5	Step	by simplifying	\$ 64x^3 + 27y^3 \$
6		Answer	D

Step

Type

Explanation

Answer

Problem

Factorize:
\$ 64x^3 - 48x^2y + 36xy^2 + 48x^2y - 36xy^2 + 27y^3 \$

Step

This is in the form of

\$a^3+b^3 = (a+b)(a^2-ab+b^2) \$

Step

substuting the values

\$ (4x + 3y)(16x^2 - 12xy + 9y^2) \$

Formula:

By using formula

\$(a^3+b^3) \$

Step

by simplifying

\$ 64x^3 + 27y^3 \$

Answer