Higher Order Thinking Factor the expression $ \frac{1}{12}x^4y^3 - \frac{1}{9}x^5y^2 $. 12. Completely...

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11. Higher Order Thinking Factor the expression $ \frac{1}{12}x^4y^3 - \frac{1}{9}x^5y^2 $.
12. Completely factor the expression $ m^8n^6p^5 - m^7n^6p^3 $.
13. Two students factor $-15x^7 - 60x^6 $. Which student is correct? Explain.
Student A: $-5x^6(3x + 12)$
Student B: $5x^6(-3x + 12)$
14. Analyze and Persevere The area of a rectangle is $ A = 36x^2 - 24x $ square inches. What are three different possible dimensions of the rectangle?

SnapAndSolve AI · Accepted Answer

Factor out the greatest common factor (GCF) from the expression $ \frac{1}{12}x^4y^3 - \frac{1}{9}x^5y^2 $:

$ \frac{1}{36}x^4y^2(3y - 4x) $.
Factor out the greatest common factor (GCF) from the expression $ m^8n^6p^5 - m^7n^6p^3 $:

$ m^7n^6p^3(m p^2 - 1) $.
Student B is correct. The correct factorization is $ 5x^6(-3x + 12) $, which simplifies to $-15x^7 - 60x^6 $.
Factor the expression $ 36x^2 - 24x $:

$ 12x(3x - 2) $.

The three different possible dimensions of the rectangle are:
- $ 12x $ and $ 3x - 2 $
- $ 6x $ and $ 6x - 4 $
- $ 18x $ and $ 2x - \frac{4}{3} $

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Higher Order Thinking Factor the expression \( \frac{1}{12}x^4y^3 - \frac{1}{9}x^5y^2 \). 12. Completely...

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