Question

(x+a)(x+b)(x+c) expand
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Answer 1

Answer:

here is the answer :-

Step-by-step explanation:

We will discuss here about the expansion of (x + a)(x + b)(x + c).

(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

Therefore, (x + a)(x + b)(x + c) = x3 + (Sum of the constant terms)x2 + (Sum of the product of constant terms taking two at a time)x + Product of constant terms.