Sign In
Ask Question
Randy Beasley
Mathematics
9 May, 09:45
Factor 9x^2+66xy+121y^2
+4
Answers (
2
)
Logan Cooley
9 May, 10:02
0
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.
Comment
Complaint
Link
Hahn
9 May, 10:02
0
His answer is correct
Comment
Complaint
Link
Know the Answer?
Answer
Not Sure About the Answer?
Find an answer to your question 👍
“Factor 9x^2+66xy+121y^2 ...”
in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers
You Might be Interested in
Simplify sin (2x+7y) + sin (2x-7y)
Answers (1)
Four numbers have a median of 4, a mean of 5 and a range of 9. The numbers are not integers. What could they be?
Answers (2)
How do you write a unit rate for this situation? $28 saved in 4 weeks
Answers (1)
Solve the system by linear combination. Show all your work. 9x+5y=35 -2x-5y=0
Answers (1)
You have a $25 gift card for a bagel shop. A bagel cost $1.25 write a equation that gives the amount (in dollars) that remains on the card as a function of the total number of bagels you have purchased so far.
Answers (1)
New Questions in Mathematics
The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation d = 0.6 sin (3520rt). What is the frequency of the tuning fork? A, 1/3520 Hz B. 1/1760 Hz C. 1760 Hz D. 3520 Hz
Answers (1)
4x-10y=-16 and - 7x+20y=23 elimination
Answers (1)
At the beginning of the year 2002, Sarah put $250 in a savings account. The bank agrees to pay Sarah 3% interest on her total savings at the end of each year including the interest added to the account.
Answers (1)
The length of a rectangle is 3 inches more than its width. If the length and width are each increased by 2 inches, the perimeter of the rectangle becomes 66 inches. If x is the width of the rectangle, find its length and width.
Answers (1)
A loan of $1000 is to be paid back, with interest, at the end of 1 year. Aft er 3 months, a partial payment of $300 is made. Use the US Rule to determine the balance due at the end of one year, considering the partial payment.
Answers (1)
Home
»
Mathematics
» Factor 9x^2+66xy+121y^2
Sign In
Sign Up
Forgot Password?