Question

Factorize: x^2-x+1/4​

Answer 1

Answer:

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

Answer 2

Answer:

HEY MATE HERE IS THE ANSWER ⬇️⚛

Step-by-step explanation:

Rewrite 11 as 1212.

x2+x+124x2+x+124

Rewrite 44 as 2222.

x2+x+1222x2+x+1222

Rewrite 12221222 as (12)2(12)2.

x2+x+(12)2x2+x+(12)2

Check the middle term by multiplying 2ab2ab and compare this result with the middle term in the original expression.

2ab=2⋅x⋅122ab=2⋅x⋅12

Simplify.

2ab=x2ab=x

Factor using the perfect square trinomial rule a2+2ab+b2=(a+b)2a2+2ab+b2=(a+b)2, where a=xa=x and b=12b=12.