Factorise the following: (x 2 - y 2 )z + (y 2 - z 2 )x

(x 2 - y 2 )z + (y 2 - z 2 )x = x 2 z - y 2 z + y 2 x - z 2 x = x 2 z - xz 2 + y 2 x - y 2 z = xz(x - z) + y 2 (x - z) = (x - z)(xz + y 2 ). Hence, (x 2 - y 2 )z + (y 2 - z 2 )x = (x - z)(xz + y 2 ).

Mathematics

Factorise the following:
(x² - y²)z + (y² - z²)x

Factorisation

15 Likes

Answer

(x² - y²)z + (y² - z²)x = x²z - y²z + y²x - z²x

= x²z - xz² + y²x - y²z

= xz(x - z) + y²(x - z)

= (x - z)(xz + y²).

Hence, (x² - y²)z + (y² - z²)x = (x - z)(xz + y²).

Answered By

8 Likes

Mathematics

Factorise the following:
(x² - y²)z + (y² - z²)x

Factorisation

Answer

Related Questions

Factorise the following:
2a²x - bx + 2a² - b

Factorise the following:
p² - (a + 2b)p + 2ab

Factorise the following:
5a⁴ - 5a³ + 30a² - 30a

Factorise the following:
b(c - d)² + a(d - c) + 3c - 3d

Mathematics

Factorise the following:(x2 - y2)z + (y2 - z2)x

Factorisation

Answer

Related Questions

Factorise the following:2a2x - bx + 2a2 - b

Factorise the following:p2 - (a + 2b)p + 2ab

Factorise the following:5a4 - 5a3 + 30a2 - 30a

Factorise the following:b(c - d)2 + a(d - c) + 3c - 3d

Factorise the following:
(x² - y²)z + (y² - z²)x

Factorise the following:
2a²x - bx + 2a² - b

Factorise the following:
p² - (a + 2b)p + 2ab

Factorise the following:
5a⁴ - 5a³ + 30a² - 30a

Factorise the following:
b(c - d)² + a(d - c) + 3c - 3d