Answer:
![\large\boxed{x^4+x=x(x^3+1)=x(x+1)(x^2-x+1)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Bx%5E4%2Bx%3Dx%28x%5E3%2B1%29%3Dx%28x%2B1%29%28x%5E2-x%2B1%29%7D)
Step-by-step explanation:
![x^4=x\cdot \underbrace{x\cdot x\cdot x}_{3}=x\cdot x^3\\\\x=x\cdot 1\\\\x^4+x=\bold{x}\cdot x^3+\bold{x}\cdot1=\bold{x}\cdot(x^3+1)\\\\\text{used the distriburtive property:}\ a(b+c)=ab+ac](https://tex.z-dn.net/?f=x%5E4%3Dx%5Ccdot%20%5Cunderbrace%7Bx%5Ccdot%20x%5Ccdot%20x%7D_%7B3%7D%3Dx%5Ccdot%20x%5E3%5C%5C%5C%5Cx%3Dx%5Ccdot%201%5C%5C%5C%5Cx%5E4%2Bx%3D%5Cbold%7Bx%7D%5Ccdot%20x%5E3%2B%5Cbold%7Bx%7D%5Ccdot1%3D%5Cbold%7Bx%7D%5Ccdot%28x%5E3%2B1%29%5C%5C%5C%5C%5Ctext%7Bused%20the%20distriburtive%20property%3A%7D%5C%20a%28b%2Bc%29%3Dab%2Bac)
![\text{If you want complete factorise, then:}](https://tex.z-dn.net/?f=%5Ctext%7BIf%20you%20want%20complete%20factorise%2C%20then%3A%7D)
![\text{use}\ a^3+b^3 = (a + b)(a^2 - ab + b^2)](https://tex.z-dn.net/?f=%5Ctext%7Buse%7D%5C%20a%5E3%2Bb%5E3%20%3D%20%28a%20%2B%20b%29%28a%5E2%20-%20ab%20%2B%20b%5E2%29)
![x^4+x=x(x^3+1)=x(x+1)(x^2+(x)(1)+1^2)=x(x+1)(x^2+x+1)](https://tex.z-dn.net/?f=x%5E4%2Bx%3Dx%28x%5E3%2B1%29%3Dx%28x%2B1%29%28x%5E2%2B%28x%29%281%29%2B1%5E2%29%3Dx%28x%2B1%29%28x%5E2%2Bx%2B1%29)
Answer:
13r - 14
Step-by-step explanation:
I don't have an explanation since I used a calculator, but, I hope this was helpful.
Answer:
The 4 packages of 15 tops for $18 is a better deal
Step-by-step explanation:
We can see which set of tops have the lowest unit price.
4 packages of 15 tops for $18:
4*15=60
There is a total of 60 tops for $18, which means each top costs 18/60 dollars, or $0.30.
5 packages of 10 tops for $16
5*10=50
There is a total of 50 tops for $16, which means that each top costs 16/50 dollars, or $0.32.
0.32>0.3
The 4 packages of 15 tops for $18 is a better deal :)
Have a great day