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Montano1993 [528]
3 years ago
9

Factor this problem ? 125 +27y^3

Mathematics
1 answer:
koban [17]3 years ago
6 0

Answer:

(5 + 3y)(25 - 15y + 9y²)

Step-by-step explanation:

This is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

125 + 27y³

= 5³ + (3y)³ with a = 5 and b = 3y

= (5 + 3y)(5² - 5(3y) + (3y)² )

= (5 + 3y)(25 - 15y + 9y²)

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What is a third-degree binomial?
natita [175]

Answer:A binomial expression has two terms. For example, 4x + 5, The degree of any polynomial refers to the term with the highest exponent on its variable. ... Therefore, it is called binomial and since the highest exponent with variable x is 3, therefore it is third degree binomial with constant term of 8

Step-by-step explanation:

3 0
3 years ago
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Example 3:
Darina [25.2K]
You can just use a calculator but when you add the numbers all together you get 323
6 0
2 years ago
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Does someone mind helping me with this problem? Thank you!
faltersainse [42]

\frac{10-(3 \cdot 2^2 - 23)}{(1 + 10^2)-2^2 \cdot 5^2} =

10-\left(3\cdot \:2^2-23\right) =10-\left(-11\right) =21

\left(1+10^2\right)-2^2\cdot \:5^2 =  101-2^2\cdot \:5^2 = 101-4\cdot \:5^2 =101-4\cdot \:25 =101-100 = 1

=\frac{21}{1}

\frac{a}{1}= a

=21

I hope I helped you!

4 0
1 year ago
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cartons of juice boes come in packages of 3. ms ford has 2 juices left for school lunches. if ms ford buys 5 packages of juice b
Andrews [41]
Well 1 package=3, so if she buys 5 packages it's 5*3=15. She still has 2 left so you take 15+2=17. She will have 17 juice boxes in total.
6 0
3 years ago
Kevin and randy muise have a jar containing 87 ​coins, all of which are either quarters or nickels. the total value of the coins
boyakko [2]
Let x be the amount of nickels and y be the amount of quarters in a jar. Totally there are 87 coins, then x+y=87.

Since nickel is 5 cent coin and quarter is 25 cent coin, then 5x+25y=1255 ($12.55=1255 cents). Solve this system:x=87-y and 5(87-y)+25y=1255.
435-5y+25y=1255,
25y-5y=1255-435,

20y=820,
y=820÷20,
y=41,
x=87-41=46.
Answer: 46 nickels and 41 quarters.

4 0
3 years ago
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