Square the expression. Write your answer in simplest form.
(-8 – 9 11)2
How do you do this?
(-8 – 9 11)2
Are you sure you've typed this correctly?
What is "9 11"?
there's supposed to be a square root symbol there.. Silly computer.
So we have
(-8 - 9√11)^2 ?
= 64 + 144√11 + 81(11)
= 955 + 144√11
To square the expression (-8 – 9√11)², you need to follow these steps:
1. Simplify the expression inside the parentheses: -8 – 9√11.
There is no like term to combine, so we cannot simplify it further.
2. Square the expression inside the parentheses: (-8 – 9√11)².
To square a binomial, you can use the FOIL method or simply apply the square of a binomial formula (a – b)² = a² – 2ab + b².
(-8 – 9√11)² = (-8)² - 2(-8)(9√11) + (9√11)².
Simplifying further, we have: 64 + 144√11 + 81(11).
Combining like terms, we get: 64 + 144√11 + 891.
3. Simplify the result to the simplest form.
Finally, the squared expression (-8 – 9√11)² is equal to 919 + 144√11 in its simplest form.