Find the expression for the product (x + a) (x + b) (x + c) us
identity (x + a) (x + b) = x2 + (a + b) x + ab teach the explain solve problems
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Solution:
we know that
(x+a) (x+b) =x²+(a+b) +ab
Now,
(x+a) (x+b) (x+c)
=[(x+a) (x+b) ](x+c)
=[x²+(a+b)x +ab](x+c)
=[x²+(a+b) x+ab]x+[x²+(a+b) x+ab]c
=x³+(a+b) x²+abx+x²c+(a+b) cx+ab
=x³(a+b+c) x²+(ab+bc+ca) x+abc
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