What is factor 4k^2-12k+9 ?

The solution to factor 4k^2-12k+9 is (2k-3)^2

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factor 4k^2-12k+9

factor

4 k^{2} - 12 k + 9

(2 k - 3)^{2}

Solution steps

4 k^{2} - 12 k + 9

Rewrite in the form of

a^{2} + 2 ab + b^{2} :

4 k^{2} = (2 k)^{2}

9 = 3^{2}

- 12 k = - 2 \cdot 2 k \cdot 3

= (2 k)^{2} - 2 \cdot 2 k \cdot 3 + 3^{2}

Apply Perfect Square Formula:

a^{2} - 2 ab + b^{2} = (a - b)^{2}

(2 k)^{2} - 2 \cdot 2 k \cdot 3 + 3^{2} = (2 k - 3)^{2}

= (2 k - 3)^{2}

3 x + 1 = x - 2

\frac{4 \cdot 1 0 ^{2019} - 1}{4 \cdot ( 3 \cdot 2019 ) + 1}

5 x^{2} - 3 x - 2 = 0

7 - 7 ∣ 5 x - 2 ∣ = - 56

erf (0)