Question

expand ( x- 1 / 2 ) ^2​

Answer 1

Answer:

$\sf{x^2-x+\dfrac{1}{4}}$

Step-by-step explanation:

$\sf{\displaystyle \left(x-\frac{1}{2}\right)^2}$

• Apply Algebraic Identity : $\sf{\left(a-b\right)^2=a^2-2ab+b^2}$

$\sf{\displaystyle=x^2-2x\frac{1}{2}+\left(\frac{1}{2}\right)^2}$

• Multiply 2x and 1/2

$\sf{\displaystyle=x^2-\frac{2x}{2}+\left(\frac{1}{2}\right)^2}$

• Expand (1/2)²

$\sf{\displaystyle=x^2-x+\frac{1}{4}}$

Answer 2

Answer:

(x²+2x+1)/4

Step-by-step explanation:

(x-1/2)²= (x-1)²/2², (a-b)²=a²-2ab+b²

=(x²-2x+1)/4