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ahrayia [7]
2 years ago
13

How to factor 4(x+5)^3(x-1)^2-(x+5)^4 • 2 (x-1) by grouping?

Mathematics
1 answer:
nata0808 [166]2 years ago
5 0
\bf 4(x+5)^3(x-1)^2-(x+5)^4\cdot 2(x-1)
\\\\\\
4(x+5)^3(x-1)^2-2(x-1)(x+5)^4
\\\\\\ \underline{2}\cdot 2\underline{(x+5)^3}(x-1)\underline{(x-1)}~-~\underline{2}\underline{(x-1)}(x+5)\underline{(x+5)^3}\leftarrow 
\begin{array}{llll}
notice~the\\
common\\ \underline{factors}
\end{array}
\\\\\\
2(x+5)^3(x-1)~[~2(x-1)-(x+5)~]
\\\\\\
2(x+5)^3(x-1)~[2x-2-x-5]\implies 2(x+5)^3(x-1)(x-7)
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The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference be
Sergio039 [100]

Answer:

48 years.

Step-by-step explanation:

Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"

It is given that

Kissi : Esinam = 3:5 = 9:15

Esinam : Lariba = 3:5 = 15:25

So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25

Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.

Sum of ages of all 3 is 147 years.

9x+15x+25x=147

49x=147

x=3

The value of x is 3. So, the age of all three are

Kissi=9x=9(3)=27

Esinam=15x=15(3)=45

Lariba=25x=25(3)=75

Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is

75-27=48

Hence, difference between oldest and youngest is 48 years.

8 0
2 years ago
PLZ HELP !!<br> ? Pounds = 2 tons
Sunny_sXe [5.5K]
4000 is the answer to your question
8 0
3 years ago
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Simplify the expression:<br> (2p + 1)(2) =
Oxana [17]

Answer:

4p +2

Step-by-step explanation:

(2p + 1)(2)

Distribute

2p * 2 + 1*2

4p +2

5 0
2 years ago
Read 2 more answers
The product of two numbers is 21. If the first number is -3 which equation respents this situation and what is the second number
Vaselesa [24]

Let the second no. be x

-3x = 21 → x = 21/-3 → x = -7

4 0
1 year ago
Please help me !!!!!!!!!!!!!!!!
Nutka1998 [239]

Answer: x=-10, y=13

Step-by-step explanation:

-3x+2y=56\\-5x-2y=24

+2y-2y = 0, eliminating y is much easier. So -3x-5x = -8x and 56+24 = 80

-8x=80\\x=-10

Substitute x in any equations but only 1 equation (Don't substitute in both equations.)

For me, I'd substitute x in -3x+2y=50

-3(-10)+2y=56\\30+2y=56\\2y=56-30\\2y=26\\y=13

So the answer is x = -10, y = 13

5 0
3 years ago
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