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Rewrite 8y^{3}-27 as \left(2y\right)^{3}-3^{3}. The difference of cubes can be factored using the rule: a^{3}-b^{3}=\left(a-b\right)\left(a^{2}+ab+b^{2}\right). Polynomial 4y^{2}+6y+9 is not factored since it does not have any rational roots.
When you buy garden fertilizer, the ratio of nitrogen (N), phosphorus (P) and potassium (K) is listed on the container in the form of three fertilizer numbers. Learn what those numbers mean and how to use them.
5 Αυγ 2024 · The numbers on commercially produced fertilizers indicate the percentage of each main ingredient in the mixture. The first number indicates the percentage amount of nitrogen in the fertilizer, the second number indicates the amount of phosphorous, and the third number indicates the amount of potassium.
17 Μαΐ 2015 · 8y^3-27 = (2y)^3 - 3^3 =(2y-3)((2y)^2+3(2y)+3^2) =(2y-3)(4y^2+6y+9) based on the difference of cubes identity: m^3-n^3 = (m-n)(m^2+mn+n^2), with m=2y and n=3. Note that (4y^2+6y+9) has no simpler factors with real coefficients.
What do fertilizer numbers mean? When shopping for fertilizers, spend some time reading the labels. It’s important to understand the fertilizer numbers you see on the front of the package, as well as the ingredients that are used to make the fertilizer.
