Answer: (3x + 11y)^2
Demonstration:
The polynomial is a perfect square trinomial, because:
1) √ [9x^2] = 3x
2) √121y^2] = 11y
3) 66xy = 2 *(3x)(11y)
Then it is factored as a square binomial, being the factored expression:
[ 3x + 11y]^2
Now you can verify working backwar, i.e expanding the parenthesis.
Remember that the expansion of a square binomial is:
- square of the first term => (3x)^2 = 9x^2
- double product of first term times second term =>2 (3x)(11y) = 66xy
- square of the second term => (11y)^2 = 121y^2
=> [3x + 11y]^2 = 9x^2 + 66xy + 121y^2, which is the original polynomial.
Step-by-step explanation:
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Step-by-step explanation:
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Given:
A driver is below the surface of the water at - 15m. he dives down by 6m, then rises 4m.
To find:
The current location of the driver.
Solution:
In this problem, negative sign is used for downward direction or the distance below the surface of the water.
Initial location = -15 m
Dives down by 6m, it means - 6m, then rises 4m, it means 4 m.
Now, the current location is
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

Therefore, the correct location of the driver is at -17 m it means her is 17 m below the surface of the water.