Factorise : x 4 + y 4 - 3x 2 y 2

Given, x 4 + y 4 - 3x 2 y 2 = (x 2 ) 2 + (y 2 ) 2 - 2x 2 y 2 - x 2 y 2 = (x 2 - y 2 ) 2 - (xy) 2 = (x 2 - y 2 + xy)(x 2 - y 2 - xy). Hence, x 4 + y 4 - 3x 2 y 2 = (x 2 - y 2 + xy)(x 2 - y 2 - xy).

Mathematics

Factorise :
x⁴ + y⁴ - 3x²y²

Factorisation

15 Likes

Answer

Given,

x⁴ + y⁴ - 3x²y²

= (x²)² + (y²)² - 2x²y² - x²y²

= (x² - y²)² - (xy)²

= (x² - y² + xy)(x² - y² - xy).

Hence, x⁴ + y⁴ - 3x²y² = (x² - y² + xy)(x² - y² - xy).

Answered By

10 Likes

Mathematics

Factorise :
x⁴ + y⁴ - 3x²y²

Factorisation

Answer

Related Questions

Factorise :
(a² - 3a)(a² - 3a + 7) + 10

Factorise :
(a² - a)(4a² - 4a - 5) - 6

Factorise :
5a² - b² - 4ab + 7a - 7b

Factorise :
12(3x - 2y)² - 3x + 2y - 1

Mathematics

Factorise :x4 + y4 - 3x2y2

Factorisation

Answer

Related Questions

Factorise :(a2 - 3a)(a2 - 3a + 7) + 10

Factorise :(a2 - a)(4a2 - 4a - 5) - 6

Factorise :5a2 - b2 - 4ab + 7a - 7b

Factorise :12(3x - 2y)2 - 3x + 2y - 1

Factorise :
x⁴ + y⁴ - 3x²y²

Factorise :
(a² - 3a)(a² - 3a + 7) + 10

Factorise :
(a² - a)(4a² - 4a - 5) - 6

Factorise :
5a² - b² - 4ab + 7a - 7b

Factorise :
12(3x - 2y)² - 3x + 2y - 1