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

You might be interested in

The area of a circular trampoline is 112.07 square feet. What is the radius of the trampoline? Round to the nearest hundredth.

Nina [5.8K]

The trampoline is a circle, so you use A=πr².
Plug in 112.07 in for A since it's the area.
Divide both sides by π to get 35.69.
Take the square root to get 5.97.

4 0

3 years ago

Read 2 more answers

Can u please help me prove those

Alex Ar [27]

Answer:

Step-by-step explanation:

A c A u B

B c A

Aç n Bc = Ac

What do you need to be explainer

6 0

3 years ago

Chapter 12 F

marshall27 [118]

Answer:

(m+n) -a = r

Step-by-step explanation:

first, you have to find what m+n is because that is their total budget, then you have to remove how much their apartment costs from their budget, because r is the amount of free cash they have. once A is subtracted from m+n, you have r

8 0

3 years ago

Simplify the expression. Write the answer without using parentheses or negative exponents.

rodikova [14]

$\frac{ (x^4 y^2)^5 }{ (x^2 y)^2 } =\frac{ x^{4*5} y ^{2*5} }{ x ^{2*2} y ^2 } =\frac{ x^{20} y ^{10} }{ x^4y^2 } = x^{20-4} *y^{10-2}= x^{16} *y^{8}$

5 0

2 years ago

Please help I do not get

katen-ka-za [31]

Answer:

(a) 51%

(b) 41%

Step-by-step explanation:

We can simplify this problem down by realizing that the amount of girls over 200 will get us our percentage as a decimal.

Looking at this table, we can see that $30+72=102$ girls were asked. So, $102\div200=0.51$ , and $0.51\cdot100=51$ .