x^2 + y^2 - 2xy - 1 is equal to : 1. (x + y - 1) (x - y - 1) 2. (x + y + 1) (x - y - 1) 3. (x + y + 1) (x - y + 1) 4. (x - y + 1) (x - y - 1)

x 2 \- y 2 \- 2xy \- 1 Using the formula [∵ (x \- y) 2 = x 2 \- 2xy \+ y 2 ] = (x 2 \+ y 2 \- 2xy) \- 1 = (x \- y) 2 \- 1 2 Using the formula [∵ (x 2 \+ y 2 ) = (x \+ y)(x \- y)] = ((x \- y) \+ (1))((x \- y) \- (1)) = (x \- y \+ 1)(x \- y \- 1) Hence, option 4 is the correct option.

Mathematics

x² + y² - 2xy - 1 is equal to :
(x + y - 1) (x - y - 1)
(x + y + 1) (x - y - 1)
(x + y + 1) (x - y + 1)
(x - y + 1) (x - y - 1)

Factorisation

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Answer

x² - y² - 2xy - 1

Using the formula

[∵ (x - y)² = x²- 2xy + y² ]

= (x² + y² - 2xy) - 1

= (x - y)² - 1²

Using the formula

[∵ (x² + y²) = (x + y)(x - y)]

= ((x - y) + (1))((x - y) - (1))

= (x - y + 1)(x - y - 1)

Hence, option 4 is the correct option.

Answered By

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Mathematics

x² + y² - 2xy - 1 is equal to :
(x + y - 1) (x - y - 1)
(x + y + 1) (x - y - 1)
(x + y + 1) (x - y + 1)
(x - y + 1) (x - y - 1)

Factorisation

Answer

Related Questions

49 - (x + 5)² is equal to:
(54 - x) (54 + x)
(2 - x) (12 + x)
48(x + 5)²
48(x - 5)²

a² - 2ab + b² + a - b is equal to :
(a - b) (a + b - 1)
(a - b) (a + b + 1)
(a + b) (a - b - 1)
(a - b) (a - b + 1)

a² + 2a + 1 - b² - x² + 2bx is equal to :
(a + 1 - b + x) (a - 1 - b + x)
(a + 1 + b - x) (a + 1 - b + x)
(a - 1 + b - x) (a - 1 - b + x)
(a - 1 + bx) (a + 1 - bx)

Factorise :
(a + 2b)² - a²

Mathematics

x2 + y2 - 2xy - 1 is equal to :(x + y - 1) (x - y - 1)(x + y + 1) (x - y - 1)(x + y + 1) (x - y + 1)(x - y + 1) (x - y - 1)

Factorisation

Answer

Related Questions

49 - (x + 5)2 is equal to:(54 - x) (54 + x)(2 - x) (12 + x)48(x + 5)248(x - 5)2

a2 - 2ab + b2 + a - b is equal to :(a - b) (a + b - 1)(a - b) (a + b + 1)(a + b) (a - b - 1)(a - b) (a - b + 1)

a2 + 2a + 1 - b2 - x2 + 2bx is equal to :(a + 1 - b + x) (a - 1 - b + x)(a + 1 + b - x) (a + 1 - b + x)(a - 1 + b - x) (a - 1 - b + x)(a - 1 + bx) (a + 1 - bx)

Factorise :(a + 2b)2 - a2

x² + y² - 2xy - 1 is equal to :
(x + y - 1) (x - y - 1)
(x + y + 1) (x - y - 1)
(x + y + 1) (x - y + 1)
(x - y + 1) (x - y - 1)

49 - (x + 5)² is equal to:
(54 - x) (54 + x)
(2 - x) (12 + x)
48(x + 5)²
48(x - 5)²

a² - 2ab + b² + a - b is equal to :
(a - b) (a + b - 1)
(a - b) (a + b + 1)
(a + b) (a - b - 1)
(a - b) (a - b + 1)

a² + 2a + 1 - b² - x² + 2bx is equal to :
(a + 1 - b + x) (a - 1 - b + x)
(a + 1 + b - x) (a + 1 - b + x)
(a - 1 + b - x) (a - 1 - b + x)
(a - 1 + bx) (a + 1 - bx)

Factorise :
(a + 2b)² - a²