The picture is blurry and I can't read this
Answer: 2x
Explanation:
Whenever we have a number right next to a letter, it implicitly means to multiply. So writing 2x is the same as 2*x or "2 times x". The x is a placeholder for some number.
the greatest common factor is 2x²
Explanation:
![\begin{gathered} The\text{ given expression:} \\ 14x^2+24x^3-16x^6 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20The%5Ctext%7B%20given%20expression%3A%7D%20%5C%5C%2014x%5E2%2B24x%5E3-16x%5E6%20%5Cend%7Bgathered%7D)
We find the factors common to each of the term. Then we will factorise it out:
![\begin{gathered} 14x^2\text{ = 2 }\times\text{ 7 }\times\text{ x }\times\text{ x} \\ 24x^3\text{ = }2\text{ }\times\text{ 2 }\times\text{ 2 }\times\text{ 3}\times x\text{ }\times x\times x \\ 16x^6=2^{}\text{ }\times\text{ 2 }\times\text{ 2}\times\text{ 2 }\times x\text{ }\times x\times x\times x\text{ }\times x\times x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2014x%5E2%5Ctext%7B%20%3D%202%20%7D%5Ctimes%5Ctext%7B%207%20%7D%5Ctimes%5Ctext%7B%20x%20%7D%5Ctimes%5Ctext%7B%20x%7D%20%5C%5C%2024x%5E3%5Ctext%7B%20%3D%20%7D2%5Ctext%7B%20%7D%5Ctimes%5Ctext%7B%202%20%7D%5Ctimes%5Ctext%7B%202%20%7D%5Ctimes%5Ctext%7B%203%7D%5Ctimes%20x%5Ctext%7B%20%7D%5Ctimes%20x%5Ctimes%20x%20%5C%5C%2016x%5E6%3D2%5E%7B%7D%5Ctext%7B%20%7D%5Ctimes%5Ctext%7B%202%20%7D%5Ctimes%5Ctext%7B%202%7D%5Ctimes%5Ctext%7B%202%20%7D%5Ctimes%20x%5Ctext%7B%20%7D%5Ctimes%20x%5Ctimes%20x%5Ctimes%20x%5Ctext%7B%20%7D%5Ctimes%20x%5Ctimes%20x%20%5Cend%7Bgathered%7D)
![\begin{gathered} we\text{ check the factors common to all thre}e\text{:} \\ 2\text{ }\times x\times x=2x^2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20we%5Ctext%7B%20check%20the%20factors%20common%20to%20all%20thre%7De%5Ctext%7B%3A%7D%20%5C%5C%202%5Ctext%7B%20%7D%5Ctimes%20x%5Ctimes%20x%3D2x%5E2%20%5Cend%7Bgathered%7D)
![\begin{gathered} 14x^2+24x^3-16x^6\text{ = }2\text{ }x^2(\text{7})\text{ + }2^{}x^2\text{ }\times(12x)-2\text{ }x^2(8x^4)\text{ } \\ 14x^2+24x^3-16x^6=2x^2(7+12x-8x^4) \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2014x%5E2%2B24x%5E3-16x%5E6%5Ctext%7B%20%3D%20%7D2%5Ctext%7B%20%7Dx%5E2%28%5Ctext%7B7%7D%29%5Ctext%7B%20%2B%20%20%7D2%5E%7B%7Dx%5E2%5Ctext%7B%20%7D%5Ctimes%2812x%29-2%5Ctext%7B%20%7Dx%5E2%288x%5E4%29%5Ctext%7B%20%7D%20%5C%5C%2014x%5E2%2B24x%5E3-16x%5E6%3D2x%5E2%287%2B12x-8x%5E4%29%20%5Cend%7Bgathered%7D)
Hence, the greatest common factor is 2x²
What grade are you in? And can you please help me out with my problem? :(
All the walnuts can fill 7 and 4/18 containers / 7 and 4 over 18