Math, asked by Shandana, 9 months ago

plz answer me these 3 questions plz​

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Answered by Anonymous
92

Given :

  • (y - x)(y + x) is equal to which of the following ?
  1. y² - yx
  2. yx - x
  3. y² - x²
  4. x² - y²

  • Which of the following are the factors of the a² + ab + bc + ca
  1. (b + c)(c + a)
  2. (a + b)(a + c)
  3. a(a + b + c)
  4. (a + b)(b + c)

  • Which of the following is the factorisation of x³ - x?
  1. x(x - x²)
  2. x[(1 + x)(1 - x)]
  3. x(x² - x)
  4. x[(x + 1)(x - 1)]

Solution :

Apply identity : a² - b² = (a + b)(a - b)

→ (y - x)(y + x)

→ (y)² - (x)²

→ y² - x²

  • Option 3

  • a² + ab + bc + ca

→ a² + ab + ca + bc

→ a(a + b) + c(a + b)

→ (a + b)(a + c)

  • Option 2

  • x³ - x

Take x as a common

→ x(x² - 1)

Apply identity : a² - b² = (a + b)(a - b)

→ x[(x)² - (1)²]

→ x[(x + 1)(x - 1)]

  • Option 4

amitkumar44481: Perfect :-)
Anonymous: Thanks Bhai ♡♡
Answered by Anonymous
9

Answer:

7. (y - x)(y + x)

   = y² - xy + xy - x²

   = y² - x²

8. a² + ab + bc + ca

  = (a + b)(a + c)

9. x³ - x

   = x[(x + 1)(x - 1)]

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