Question

(x-2)^2 by factorisation​

Answer 1

Answer: $x^{2} -4x+4$

Step-by-step explanation:

Answer 2

Here , we have an algebraic expression to be factories and in order to factories this expression we can use the algebraic identities . Among the algebraic identities we can easily day that the given expression in the form of (a-b)² = a² - 2ab + b²

Where ,

• a = x
• b = 2

Now , Substitute the values as required !!

$\large \tt \implies{ {(x - 2)}^{2} } \\ \large \tt \implies{ {x}^{2} -2 (x)(2) + {2}^{2} } \\ \large \tt \implies{ {x}^{2} - 4x + 4}</p><p>$

Hence , Factorised !! ________________________

Derivation of the identity used is as follows :

$\large \sf \implies {(x - y)}^{2} = (x - y)(x - y) \\ \large \sf \implies x(x - y) - y(x - y)\\ \large \sf \implies {x}^{2} - xy - yx + {y}^{2} \\ \large \sf \implies {x}^{2} - 2xy + {y}^{2}$

Always remember that rather than mugging up the identities of you try to know the derivation of them you can do the sums accurately and you can even memorise them every easily !!