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Viktor [21]
3 years ago
7

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

Mathematics
1 answer:
sertanlavr [38]3 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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Which equation represents the sentence, "The sum of three times p and twenty-five is q"?
Zolol [24]
It is D because we said sum of three times p and twenty five is q it means p is multiplied first with p before adding 25
7 0
3 years ago
Caitlin has a cookie recipe that requires 1.25 pounds of sugar how many grams of sugar does she need
Harman [31]

Answer:

For this answer, you need to do a conversion from pounds to grams. 1 pound is equal to 453.592 or just 453.6 grams if rounding is allowed. You would need to multiply 1.25 pounds to the 453.6 grams which would equal 566.99 grams or if you are rounding then it is 567 grams.

Your final answer is 567 grams of sugar.

7 0
2 years ago
What is the base 8 representation of the number 11100111
katovenus [111]

If the given number is in base 2, that means

11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1

8 = 2³, and so we have

11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1

11100111₂ = 3 • 8² + 4 • 8 + 7

11100111₂ = 347₈

Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:

11 100 111

11₂ = 2 + 1 = 3

100₂ = 2² = 4

111₂ = 2² + 2 + 1 = 7

so again we get 347₈.

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Step-by-step explanation:

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