Question

Expand $(x-2{)}^2$ using suitable identity.

• A. $x^2-4x+2$
• B. $x^2-2x+4$
• C. $x^2-4x+4$
• D. $x^2+4x+4$

Answer 1

The correct option is C $x^2-4x+4$

We know,
$(x-y{)}^2$ = $x^2-2xy+y^2$

Comparing we get x = x and y = 2
Hence $(x-2{)}^2$ = $x^2-2\left(x\right)\left(2\right)+\left(2^2\right)$
$\Rightarrow$ $x^2-4x+4$