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miskamm [114]
4 years ago
6

How to factor by grouping:

^{3} - 75x" alt="{27x}^{3} - 75x" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nataly [62]4 years ago
5 0

Answer:

3 x (3 x - 5) (3 x + 5)

Step-by-step explanation:

Factor the following:

27 x^3 - 75 x

Factor 3 x out of 27 x^3 - 75 x:

3 x (9 x^2 - 25)

9 x^2 - 25 = (3 x)^2 - 5^2:

3 x (3 x)^2 - 5^2

Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):

Answer: 3 x (3 x - 5) (3 x + 5)

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In a high school, 2/5 of the girls make up 150 students.
poizon [28]

Answer:

375 girls

Step-by-step explanation:

Let the number of girls in the school be y.

Then, we can write the equation:

\frac{2}{5} y = 150

We can now solve for y by multiplying both sides by

\frac{5}{2}

\frac{5}{2}  \times  \frac{2}{5} y = 150 \times  \frac{5}{2}

\implies \: y = 75 \times 5

y = 375

Therefore there are 375 girls in the school.

5 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
I need help ASAP I will name brainlest if you get it right and no bad answers
Dovator [93]

Answer:

1,000

Step-by-step explanation:

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Which of the following is a polynomial with roots 4, -5 and 7?
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How many lines are in a quatrain?
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