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Anna71 [15]
2 years ago
11

Factor 125x3 + 343y3

Mathematics
1 answer:
Annette [7]2 years ago
5 0

Answer:

(5x + 7y)(25x² - 35xy + 49y²)

Step-by-step explanation:

125x³ + 343y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b² )

125x³ = (5x)³ ⇒ a = 5x

343y³ = (7y)³ ⇒ b = 7y

125x³ + 343y³

= (5x + 7y)((5x)² - (5x × 7y) + (7y)²)

= (5x + 7y)(25x² - 35xy + 49y²) ← in factored form

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Find the smallest number by which 2592 be multiplied so that the product is a prime factor ​
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Answer:

Step-by-step explanation:

2592 = 2×2×2×2×2×3×3×3×3  

now,

√2592 = √2×2×2×2×2×3×3×3×3 = 2×2×3×3√2 = 36√2

as √2 is left so the number 2592 should be multiplied with 2 to get a perfect square.

8 0
3 years ago
Select all equations that have two solutions. a x^2=16 b 4x^2=0 c x^2=-16 d 3x+2=14 e x^2-1=24 f (x+8)(x-8)=0
never [62]

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a )

{x}^{2}  = 16

x = ± \: 4

Two solutions.

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b )

4 {x}^{2}  = 0

x = 0

One solution .

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c )

{x}^{2}  =  - 16

No  \:  \: solution.

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d )

3x + 2 = 14

x = 4

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e )

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f )

(x + 8)(x - 8) = 0

x =  - 8 \:  \: or \:  \: x = 8

Two solutions .

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5 0
2 years ago
Help me pls its due soon
RoseWind [281]

Answer:

do you mean in simplist form?? if so...

Step-by-step explanation:

5/7=5/7

2/6=1/3

7 0
3 years ago
Read 2 more answers
Simplify. (-7y^2+4y+9)+(6y^2-5y+9)-(2y^2-9y-2)
Natali5045456 [20]

Combine like terms

-7y² + 6y² - 2y² = -3y²

4y + (-5y) - (-9y) = 4y - 5y + 9y = 8y

9 + 9 - (-2) = 9 + 9 + 2 = 20

-3y² + 8y + 20 is your answer

hope this helps

7 0
2 years ago
Can you tell me what is 26-4s=9s
wariber [46]
26 - 4s = 9s
26 = 9s + 4s
26 = 13s
13s = 26
s = 26/13
s = 2
6 0
3 years ago
Read 2 more answers
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