Answer:
factors of ![x^{12}y^{18}+1 = (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)](https://tex.z-dn.net/?f=%20x%5E%7B12%7Dy%5E%7B18%7D%2B1%20%3D%20%28x%5E4y%5E6%2B1%29%20%28x%5E8y%5E%7B12%7D%20-x%5E4y%5E6%20%2B1%29)
Step-by-step explanation:
We need to find factors of ![x^{12}y^{18}+1 can\,\,be\,\, written\,\, as\,\,\\(x^2y^3)^6 + 1\\It\,\, can\,\, be\,\, further\,\, written\,\, as\\((x^2y^3)^2)^3 +1\\Using\,\, the\,\, formula\,\, a^3+b^3 = (a+b)(a^2-ab+b^2)\\Here \,\, a = (x^2y^3)^2 and y = 1\\((x^2y^3)^2)^3 +(1)^3= ((x^2y^3)^2+1) (((x^2y^3)^2)^2 -(x^2y^3)^2 +1)\\= (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)](https://tex.z-dn.net/?f=x%5E%7B12%7Dy%5E%7B18%7D%2B1%20can%5C%2C%5C%2Cbe%5C%2C%5C%2C%20written%5C%2C%5C%2C%20as%5C%2C%5C%2C%5C%5C%28x%5E2y%5E3%29%5E6%20%2B%201%5C%5CIt%5C%2C%5C%2C%20can%5C%2C%5C%2C%20be%5C%2C%5C%2C%20further%5C%2C%5C%2C%20written%5C%2C%5C%2C%20as%5C%5C%28%28x%5E2y%5E3%29%5E2%29%5E3%20%2B1%5C%5CUsing%5C%2C%5C%2C%20the%5C%2C%5C%2C%20formula%5C%2C%5C%2C%20a%5E3%2Bb%5E3%20%3D%20%28a%2Bb%29%28a%5E2-ab%2Bb%5E2%29%5C%5CHere%20%5C%2C%5C%2C%20a%20%3D%20%28x%5E2y%5E3%29%5E2%20and%20y%20%3D%201%5C%5C%28%28x%5E2y%5E3%29%5E2%29%5E3%20%2B%281%29%5E3%3D%20%28%28x%5E2y%5E3%29%5E2%2B1%29%20%28%28%28x%5E2y%5E3%29%5E2%29%5E2%20-%28x%5E2y%5E3%29%5E2%20%2B1%29%5C%5C%3D%20%28x%5E4y%5E6%2B1%29%20%28x%5E8y%5E%7B12%7D%20-x%5E4y%5E6%20%2B1%29)
So, factors of ![x^{12}y^{18}+1 = (x^4y^6+1) (x^8y^{12} -x^4y^6 +1)](https://tex.z-dn.net/?f=%20x%5E%7B12%7Dy%5E%7B18%7D%2B1%20%3D%20%28x%5E4y%5E6%2B1%29%20%28x%5E8y%5E%7B12%7D%20-x%5E4y%5E6%20%2B1%29)
Answer:
27 kilograms
Step-by-step explanation:
When she was born, she weighed 3 kilograms. If she gained 24 kilograms, then that is the initial value (3) plus the added value (24) and you get her weight, which is 27.
4(x - 2) + 6 = 2(5x - 6) <em>use distributive property</em>
(4)(x) + (4)(-2) + 6 = (2)(5x) + (2)(-6)
4x - 8 + 6 = 10x - 12
4x - 2 = 10x - 12 <em>add 2 to both sides</em>
4x = 10x - 10 <em>subtract 10 from both sides</em>
-6x = -10 <em>divide both sides by (-6)</em>
x = 10/6
<h3>x = 5/3</h3>
Answer:
Step-by-step explanation:
8?
Hello! So the house payment is 37% of your total budget. To find out the total of your house payment, all you have to do is multiply the total budget (660) by the percent (37%). 660 * 37% (0.37 is 244.2. There. The house payment is $244.20.