Factor Out the GCF from the Polynomial $18 x ^ { 9 } y ^ { 9 } + 63 x ^ { 7 } y ^ { 7 } + 54 x ^ { 5 } y ^ { 5 }$

question 94

Multiple Choice

Factor out the GCF from the polynomial.
- $18 x ^ { 9 } y ^ { 9 } + 63 x ^ { 7 } y ^ { 7 } + 54 x ^ { 5 } y ^ { 5 }$

• A) \(9 x ^ { 5 } y ^ { 5 } \left( 2 x ^ { 4 } y ^ { 4 } + 7 x ^ { 2 } y ^ { 2 } + 6 \right)\)
• B) \(9 \left( 2 x ^ { 9 } y ^ { 9 } + 7 x ^ { 7 } y ^ { 7 } + 6 x ^ { 5 } y ^ { 5 } \right)\)
• C) \(- 9 x ^ { 5 } y ^ { 5 } \left( - 2 x ^ { 4 } y ^ { 4 } + 7 x ^ { 2 } y ^ { 2 } - 6 \right)\)
• D) \(9 x ^ { 5 } \left( 2 x ^ { 4 } y ^ { 9 } + 7 x ^ { 2 } y ^ { 7 } + 6 y ^ { 5 } \right)\)

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Definitions:

Relational Escalation

Movement of a relationship toward intimacy through five stages: preinteraction awareness, acquaintance, exploration, intensification, and intimacy.

Partners' Perceptions

The way individuals perceive and interpret their partner's actions, intentions, and emotions within a relationship.

Relationship Strength

The measure of how strong and resilient a relationship is, often based on factors like trust, communication, and mutual respect.

Interdependent

Dependent on each other; one person’s actions affect the other person.