Question

Evaluate using suitable algebraic identity :-
(x - 3)(x - 2)

Answer 1

Heya friend,

Here is the answer:
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(x+a)(x+b)= x^2+x (a+b)+ab

(x-3)(x-2) = x^2+x (3-2)+(3)×(2)

Therefore,

(x-3)(x-2)= x^2+x+6

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Hope my answer helps you :)

Regards,
Shobana
^_^

Answer 2

Use this identity: $(x-a)(x-b) = x^{2}-x(a+b)+ab$
Here, $a = 3, b = 2$ and $x$ is $x$ only. 
Substitute the values of $a$ and $b$. 
$(x-3)(x-2)$
$= x^{2}-x(3+2)+3(2)$
$= x^{2}-5x+6$                             [Simplifying. ]

Hope this may help you.