$\bf \textit{difference and sum of cubes}
\\\\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 
\\\\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-------------------------------\\\\
64g^3+8\implies 4^3g^3+8\implies (4g)^3+2^3
\\\\\\
(4g+2)[(4g)^2-(4g)(2)+2^2]\implies (4g+2)[(4^2g^2)-8g+4]
\\\\\\
(4g+2)(16g^2-8g+4)$

3 0

3 years ago

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece. Write an equation in Standard Form

Fofino [41]

Answer:

Step-by-step explanation:

Total number of points in the test = 100points

If the test has x questions worth 2 points apiece, then the total number of points for x questions with 2 points each will be 2 * x i.e 2x........ 1

Also, if y questions worth 4 points apiece then the total number of points for y questions with 4 points each will be 4 * x i.e 4x ....... 2

Total points = eqn 1 + eqn 2

100 = 2x+ 2y

Rearrange

2x+2y = 100

Hence an equation in Standard Form that would model this situation is 2x+2y = 100

6 0

3 years ago

Which is an example of incompatible goals?

andrey2020 [161]

1st answer, read it and then compare it to the other answers, it’s asking who cuz is not compatible with goals, first is the only one about goals or something your parents didn’t want TO DO. Sorry if I’m wrong

4 0

2 years ago