(3m+5n)(9m²-15mn+25n²)
1) Let's factorize 27m³ +125n³.
27m³ +125n³ <em>Let's use x³ +y³ product to factorize that</em>
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x³ +y³ = (x +y)(x²-xy +y²)
2) So let's rewrite it, since 3³ = 27 and 5³ = 125
27m³ +125n³ =
Plug x =3m and y = 5n into those factors (x +y)(x²-xy +y²)
27m³ +125n³= (3m + 5n)(3²m² -5n*3m +5²n²)
27m³ +125n³= (3m+5n)(9m² - 15mn +25n²)
3) So the answer is
(3m+5n)(9m²-15mn+25n²)
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Oh you’re on ALEKS, right?
Sorry off topic lol
Did you maybe try -4, since thats the sequence it’s going in? :)
Step-by-step explanation:
step 1. The segment x is made up of 2 equal lines which are connected in the middle to another segment 12 units long.
step 2. the intersection of these two segments must create a 90° angle because the two lines are equal.
step 3. The lower segments are identical to the upper segments.
step 4. therefore x = 11(2) = 22.
The statement which best explains whether the student is correct is: D. the student is completely incorrect because there is "no solution" to this inequality.
<h3>What is an inequality?</h3>
An inequality refers to a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
- Less than or equal to (≤).
- Greater than or equal to (≥).
Since |x-9| is greater than or equal (≥) to zero (0), we can logically infer that this student is completely incorrect because there is "no solution" to this inequality.
Read more on inequalities here: brainly.com/question/24372553
#SPJ1
<u>Complete Question:</u>
A student found the solution below for the given inequality.
|x-9|<-4
x-9>4 and x-9<-4
x>13 and x<5
Which of the following explains whether the student is correct?
A. The student is completely correct because the student correctly wrote and solved the compound inequality.
B. The student is partially correct because only one part of the compound inequality is written correctly.
C. The student is partially correct because the student should have written the statements using “or” instead of “and.”
D. The student is completely incorrect because there is “ no solution “ to this inequality.
