Question

(x-2)(x-1/2) expressions using formulae

Answer 1

Hello friends!!

Here is your answer :

$(x - 2)(x - \frac{1}{2} )$

Using identity :

( x + a) ( x + b) = x² + ( a + b)x + ab


${(x)}^{2} + ( - 2 + ( - \frac{1}{2} )) + ( - 2)( - \frac{1}{2} )$


${x}^{2} + ( - 2 - \frac{1}{2} ) + ( - 2 \times - \frac{1}{2} )$


${x}^{2} + ( \frac{ - 4 - 1}{2} ) + (1)$


${x}^{2} + ( \frac{ - 5}{2} ) + 1$


${x}^{2} - \frac{5}{2} + 1$

Hope it helps you..

#Be Brainly

Answer 2

We can use this identity to solve this question :-
(x+a)(x+b)=x^2+(a+b)x+ab
(x-2) (x-1/2)=x^2+[-2+(-1/2)]x+(-2.-1/2)
=x^2+(-2-1/2)x+1
=x^2+(-4-1/2)x+1
=x^2-5/2x+1