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Dafna11 [192]
3 years ago
13

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Answer:

-9A · √(5yA)

Step-by-step explanation:

The coefficient -3 stays the same.

45 factors into 5·9, which is helpful because 9 is a perfect square.

Thus, √45 = 3√5.

y cannot be factored.  It stays under the radical.

A³ can be factored into A² (a perfect square) and A.

Thus,

-3√(45yA³) = -3 · 3√5 · √y · A · √A, or

                   = (-3)(3)(A) · √(5yA), or

                    = -9A · √(5yA)

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See below

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Divide through by (a - c):-

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This completes the proof.

 

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