Question

Factorise:
(a²-b²)c+(b²-c²)a​

Answer 1

Answer:

$(a-c)(ac + b^{2} )$

Step-by-step explanation:

$(a^{2} - b^{2} )c$ + $(b^{2} - c^{2} )a$

= $a^2c-b^2c + b^2a - c^2a$

= $a^2c - c^2a + b^2a - b^2c$

= $ac(a-c) + b^2(a-c)$

= $(a-c)(ac+b^2)$

Answer 2

Answer:

Here is your answer

Step-by-step explanation:

(a

2

−b

2

)c + (b^{2} - c^{2} )a(b

2

−c

2

)a

= a^2c-b^2c + b^2a - c^2aa

2

c−b

2

c+b

2

a−c

2

a

= a^2c - c^2a + b^2a - b^2ca

2

c−c

2

a+b

2

a−b

2

c

= ac(a-c) + b^2(a-c)ac(a−c)+b

2

(a−c)

= (a-c)(ac+b^2)(a−c)(ac+b

2

)