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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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if there are four trucks parked in line and after the first truck each truck weighed 2 more tons than the one before. They all w
algol13
Each truck weighs five tons. 

1st truck: n 
2nd truck: n + 2
3rd truck: n + 4
4th truck: n + 6 

n + n + 2 + n + 4 + n + 6 = 32 
4n + 12 = 32 
      - 12   - 12
--------------------
4n = 20 
----  ------
 4      4

n = 5 
6 0
4 years ago
What is 2017 minus 4000 years ago
Helen [10]

The <u><em>correct answer</em></u> is:

1983 B.C.

Explanation:

To subtract this, we can reverse the order and make the answer negative. The reason for this is that we are taking away more than we have, so we will have a negative answer.

4000-2017 = 1983

In terms of time, though, we don't deal with negatives, we deal with A.D. and B.C. The use of A.D. is for dates after the year 1; B.C. is for anything before this. Since our number is "negative," it will be 1983 B.C.

3 0
3 years ago
Read 2 more answers
Someone help me please
Liono4ka [1.6K]
= 34y = 1156
Divide both sides by 34
Y = 1156/34
Simplify 1156/34 to 34
Y = 34
3 0
3 years ago
Rome, Italy gets an average of 2 in. of rain in April. This is about 1/4 (fraction) the average April rainfall in Nairobi, Kenya
astra-53 [7]
That would be true because 2*4=8 and 2 goes into 8 4 times so that would be 1/4
8 0
3 years ago
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REALLY APPRECIATE YOUR HELP<br><br>Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y​​
anyanavicka [17]

Answer:

if \:  log(x )  = 3 \\  log_{10}(x)  = 3 \\   {10}^{3}  = x \\ therfore \to \:  \boxed{x =  {10}^{3} } \\ \\  if \:  log(y )  = 2 \\  log_{10}(y)  = 2 \\   {10}^{2}  = y \\ therfore \to \:  \boxed{y=  {10}^{2} }

Step-by-step explanation:

x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2}  = 3000(10)^{2}    + 7( {10}^{3} \times  {10}^{2})  \\   {10}^{6}   = 3000(10)^{2}    + 7( {10}^{3} \times  {10}^{2})  \\   {10}^{6}   = 3000(10)^{2}    + 7( {10}^{5} )   \\  {10}^{6}  = 300000 + 700000 \\   \boxed{{10}^{6}  = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}

♨Rage♨

3 0
3 years ago
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