Question

What is the solution for (x−a)(x−b)

Answer 1

Answer:

${x}^{2} - ax - bx + ab$

Step-by-step explanation:

METHOD 1 -

$(x - a)(x - b)$

$= {x}^{2} + ( - a - b)x + ( - a)( - b)$

$= {x}^{2} - ax - bx + ab$

This is an identity. If you don't know this identity, here is another method -

METHOD 2 -

$(x - a)(x - b)$

$= (x)x - a(x) - b(x) + ( - a)( - b)$

$= {x}^{2} - ax - bx + ab$

In this method, I got the answer by simply multiplying the variables.

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