Question

(x + a)(x+b)(x+c)=x^3+(a+b+c)x^2+(ab+bc+ca)x+abc

Answer 1

Answer:

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

= (x + a){x2 + (b + c)x + bc}

= x{x2 + (b + c)x + bc} + a{x2 + (b + c)x + bc}

= x3 + (b + c)x2 + bcx + ax2 + a(b + c)x + abc

= x3 + (a + b + c)x2 + (bc + ab + ac)x + abc

= x3 + (a + b + c)x2 + (ab + bc + ca)x + abc