What is factor 16k^2-24k+9 ?

The solution to factor 16k^2-24k+9 is (4k-3)^2

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factor 16k^2-24k+9

factor

16 k^{2} - 24 k + 9

(4 k - 3)^{2}

Solution steps

16 k^{2} - 24 k + 9

Rewrite in the form of

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

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

9 = 3^{2}

- 24 k = - 2 \cdot 4 k \cdot 3

= (4 k)^{2} - 2 \cdot 4 k \cdot 3 + 3^{2}

Apply Perfect Square Formula:

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

(4 k)^{2} - 2 \cdot 4 k \cdot 3 + 3^{2} = (4 k - 3)^{2}

= (4 k - 3)^{2}

\frac{1}{2} \cdot 10

\frac{7}{8} (x - 2) + \frac{5}{6} (x - 4) = 20 - \frac{7}{3} (x - 7)

72 9^{- \frac{1}{3}}

5 t^{2} - 26 t x + 5 x^{2}

2 x^{2} (x + 1)^{2} - x^{2} (x + 1)^{3} (x - 3)