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Pavlova-9 [17]
2 years ago
12

Factorize:a⁴-a³+2a²​

Mathematics
2 answers:
gavmur [86]2 years ago
7 0

{a}^{4}  \:  -  \:  {a}^{3}  \:  +  \:  {2a}^{2}

  • Factor the expression with the common factor that is "a²".

\boxed{ \bold{ {a}^{2}  \:  \times  \: ( {a}^{2}  \:  -  \: a \:  +  \: 2)}}

<h3><em><u>MissSpanish</u></em> </h3>
r-ruslan [8.4K]2 years ago
3 0

Answer:

<u>a²​(a²​-a+2) </u>

Step-by-step explanation:

Solution Given:

a⁴-a³+2a²​

first taking common a²​

we get

<u>a²​(a²​-a+2) </u>which is a required answer.

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PLEASE HELP I DON'T UNDERSTAND! A florist is making regular bouquets and mini bouquets. The florist has 118 roses and 226 peonie
Anna [14]

Answer:

The florist can make 11 regular bouquets and 21 mini bouquets

Step-by-step explanation:

The number of roses the florist has = 118 roses

The number of peonies the florist has = 226 peonies

The number of roses in each regular bouquet = 5 roses

The number of peonies in each regular bouquet = 11 peonies

The number of roses in each mini bouquet = 3 roses

The number of peonies in each mini bouquet = 5 peonies

1. The equation that gives the total number of roses to be used in both kinds of bouquet is given as follows;

Let r represent the number of regular bouquet the florist can make and let m represent the number of mini bouquet the florist can make, we have;

5·r + 3·m = 118...(1)

2. Similarly, we have;

11·r + 5·m  = 226...(2)

Making m the subject of the formula of both equations, and equating both values of m to find a common solution, we have;

m = (118 - 5·r)/3

m = (226 - 11·r)/5

(118 - 5·r)/3 = (226 - 11·r)/5

5 × (118 - 5·r) = 3 × (226 - 11·r)

590 - 25·r = 678 - 33·r

33·r - 25·r = 678 - 590 = 88

8·r = 88

r = 88/8 = 11

r = 11

The number of regular bouquet the florist can make = r = 11

m = (118 - 5·r)/3 = (118 - 5×11)/3 = 21

m = 21

The number of mini bouquet the florist can make = m = 21

The number of regular bouquet the florist can make = 11 bouquets

The number of mini bouquet the florist can make = 21 bouquets.

3 0
2 years ago
Point G is between F and H on line FH. Use the given information solve for x and then find FG AND GH.
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Answer:

X=6

FG=31

GH=22

Step-by-step explanation:

Equation: FG+GH=FH

rewrite with values

4x+7 + 5x-8 = 53

combine like terms

9x-1 = 53

add 1 to both sides

9x = 54

divide by 9

x = 6

use 6 end solve for FG and GH

FG = 4(6) + 7 = 31

GH = 5(6) - 8 = 22

Check your answers.. Do FG and GH add up to equal FH (53)?

31 + 22 = 53

I hope this made sense.

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Answer/Step-by-step explanation:

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Add like terms

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Answer: 18+54

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