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Viktor [21]
2 years ago
7

What is the factored form of the following expression? 25x^2 + 70x+ 49​

Mathematics
1 answer:
sertanlavr [38]2 years ago
6 0

Answer:

( 5x + 7 ) ²

Step-by-step explanation:

25 x ² + 70 x + 49

Identity Used

  • (a + b) ² = a ² + 2 ab + b ²

= 25 x ² + 35 x + 35 x + 49

= 5 x ( 5x + 7 ) + 7 ( 5 x + 7)

= ( 5x + 7 )

<u>More to know about Algebraic Identities</u> :-

  • ➛ (a + b)² = a² + 2ab + b²
  • ➛ (a - b)² = a² - 2ab + b²
  • ➛ a² - b² = (a +b) (a-b)
  • ➛ (x + a) (x + b) = x² + (a + b) x + ab
  • ➛ (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac
  • ➛ (a + b)³ = a³ + b³ + 3ab (a + b)
  • ➛ (a - b)³ = a³ - b³ - 3ab (a + b)
  • ➛ a³ + b³ + c³ = 3abc (If a + b + c = 0)
  • ➛ a² + b² + c² = (a + b + c)² - 2 (ab + bc + ca)
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3 years ago
Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. ( 2X + 15=37 - 2) Write an equation showing h
Misha Larkins [42]

Answer:

1) 10

2) 16

Step-by-step explanation:

1) 2x+15=37-2

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2 2

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Hope this helps ❤

3 0
3 years ago
48/60 as a fraction in its simplest form.
Brut [27]

Step-by-step explanation:

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I’m not good in algebra so help me out please ☹️
Monica [59]

Answer:

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3 years ago
Can someone please explain how to solve this.<br><br> p^-4 x -5p
solong [7]
P^-4 x -5p

In properties of exponents, if the exponent is negative then you move the variable with the negative exponent to the denominators place and it changes to positive and the numerator becomes 1.

p^-4=1/(p^4)

Also, if no exponent is present it is understood to be 1.

Keeping this in mind,
p^-4 x -5p
1/(p^4) x -5p^1            substituted p^-4 by 1/p^4 and added ^1 to -5p
-5p^1/p^4                     multiplied-5p^1 to 1 
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