Question

a²(b²-c²)+b²(c²-a²)+c²(a²-b²)​

Answer 1

a^2(b+c) + b^2 (c+a) + c^2 (a+b) + 2abc

a^2b + a^2c + b^2c + b^2a + c^2a + c^2b + 2abc

(a^2b + 2abc + c^2b) + a^2c + b^2a + b^2c + c^2a

b(a^2 + 2ac + c^2 ) + (a^2c + ac^2) +(b^2a + b^2c)

b(a+c)^2 + ac(a+b) + b^2(a+c)

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

(a+c){ba + bc + ac + b^2}

(a+c){(ba + ac ) +bc +b^2}

(a+c){(ba +ac ) + bc +b^2}

(a+c) {a(b+c) +b ( c+b)}

(a+c) (a+b) + (b+c)

(a+c) (b+c) (a +b )

NOTE: (^2) THIS DENOTES SQUARE