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defon
3 years ago
14

Factorise:

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

a)(5m+3n)^3 b)(4a-3b)^3

Step-by-step explanation:

a)125m^3+27n^3+225m^2 n+135mn^2

Use the binomial cube formula, a^3+3a^2

b+3ab^2+b^3=(a+b)^3, where a=5m and b=3n.

(5m+3n)^3

b)64a^3-144a^2 b+108ab^2-27b^3

Use the binomial cube formula, p^3-3p^2q+3pq^2-q^3=(p-q)^3, where p=4a and q=3b.

(4a-3b)^3

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Can someone please assist me on this question!
BigorU [14]

Answer:

5^-2

Step-by-step explanation:

All you have to do in this situation is subtract the powers :)

10-12=-2

8 0
3 years ago
You toss 3 fair coins in the air at once.
MAVERICK [17]
The probability of a head or tail upon flipping is 50-50. THe asnwers are as followsL
a. {HHH, HHT, HTT, TTT, TTH, THH, HTH, THT}b and c.  p = 3C3 * 0.5^3 = 0.125d. from a, p = 3/8 = 0.375e. from a, p = 3/8 = 0.375f. 0.875
5 0
3 years ago
At a supermarket, the price of yellow onions dropped from $0.58 per pound to $0.43 per pound.
patriot [66]

Answer:

a. 25.9%  b. $.76 per pound

Step-by-step explanation:

For part a. the formula for percent decrease is

% dec = \frac{orig-new}{orig}*100

We are solving for % dec.  Filling in:

% dec = \frac{.58-.43}{.58}*100 simplifies to

% dec = \frac{.15}{.58}*100 which gives us, rounded to one decimal place:

% dec = 25.9%

For part b. we are going to use that percent decrease and fit it into a new equation to solve for the new price of tomatoes when we know the original price.  Filling in:

25.9=\frac{(1.03-new)}{1.03}*100 which could be written instead as

25.9=\frac{(1.03-new)100}{1.03}

Now you can see what will happen on the right when we divide by 100...they cancel out.  That looks like this, when we divide both sides by 100, as we must because this is an equation:

\frac{25.9}{100}=\frac{(1.03-new)100}{(1.03)(100)}

Simplifying on both sides:

.259=\frac{1.03-new}{1.03}

Now we will multiply both sides by 1.03:

.26677 = 1.03 - new  and

-.76323 = -new so

the new price is .76 per pound

7 0
3 years ago
1) Moira bought $.65 worth of stamps. She paid for them with 15 coins. What coins did she use?
dimaraw [331]

1) 1 Quarter, 2 Dimes, 2 Nickles, 10 Pennies

2) The ninth floor is 3 times as far from the ground as the third (9/3)

3) That number is 20 (20/2 = 10, 20*2 = 40, 40-10 = 30)

4) 1 Bracelet is $9 (If 2 rings are $12 then 1 ring will be $6. $36 - $18 = $18 2 bracelets = $18)

5) Addie weighs 4oz Missy weighs 14oz Corky weighs 8oz(A + M = 18, M + C = 22, A + C = 12. )

don't expect people to do 6 questions for the points of 1 question.

8 0
2 years ago
-15b - 20<br>factorise fully<br>!!!​
hram777 [196]

Answer:

-5 (3b+4)

Step-by-step explanation:

-15b - 20

-5 (3b+4)

3 0
3 years ago
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