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Can you please answer the question o in this image ?

Can you please answer the question o in this image ?-example-1
User Antelove
by
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2 Answers

1 vote

Answer: #4

Explanation:

You would divide 24 by -6, leaving u with -4 then u would subtract the powers x to the power of 6 from x to the power of 3 leaving you with x to the power of 3 and then you would subtract y to the power of 3 by y leaving you with y squared.

-4x to the power of 3 y to the power of 2.

User Mister Magoo
by
8.1k points
1 vote

Answer:

-4 x^3 y^2 thus: # 4

Explanation:

Simplify the following:

(24 x^6 y^3)/(-6 x^3 y)

The gcd of 24 and -6 is 6, so (24 x^6 y^3)/(-6 x^3 y) = ((6×4) x^6 y^3)/((6 (-1)) x^3 y) = 6/6×(4 x^6 y^3)/(-x^3 y) = (4 x^6 y^3)/(-x^3 y):

(4 x^6 y^3)/(-1 x^3 y)

Combine powers. (4 x^6 y^3)/(-x^3 y) = (4 x^(6 - 3) y^(3 - 1))/(1 (-1)):

(4 x^(6 - 3) y^(3 - 1))/(-1)

6 - 3 = 3:

(4 x^3 y^(3 - 1))/(-1)

3 - 1 = 2:

(4 x^3 y^2)/(-1)

Multiply numerator and denominator of (4 x^3 y^2)/(-1) by -1:

Answer: -4 x^3 y^2

User Vidyut
by
7.1k points