Using the identy (x+a)(x+b)=x2+(a+b)x+ab,lets find the product of the following algebric expression. (X+9)(x-6)
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(x+a)(x+b)(x+c)
=[x
2
+(a+b)x+ab](x+c)
=x
2
(x+c)+[(a+b)x+ab](x+c)
=x
3
+x
2
c+ax
2
+bx
2
+acx+bcx+abx+a
=x
3
+(a+b+c)x
2
+(ab+bc+ca)x+abc
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