Question

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

Answer 1

Answer:

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

(x+a)(x+b)(x+c) = LHS

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

$\blue{彡To prove: LHS = RHS}$

We have to make both sides equal.

let's take the LHS and make it equal to RHS.

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

(x+a) (x² + cx + bx + cb)

x³ + cx² + bx² + cbx + ax² + acx + abx + abc

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

OR

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

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