What is factor 81x^2-72x+16 ?

The solution to factor 81x^2-72x+16 is (9x-4)^2

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factor 81x^2-72x+16

factor

81 x^{2} - 72 x + 16

(9 x - 4)^{2}

Solution steps

81 x^{2} - 72 x + 16

Rewrite in the form of

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

81 x^{2} = (9 x)^{2}

16 = 4^{2}

- 72 x = - 2 \cdot 9 x \cdot 4

= (9 x)^{2} - 2 \cdot 9 x \cdot 4 + 4^{2}

Apply Perfect Square Formula:

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

(9 x)^{2} - 2 \cdot 9 x \cdot 4 + 4^{2} = (9 x - 4)^{2}

= (9 x - 4)^{2}

x^{\frac{5}{2}} - 49 x^{\frac{1}{2}}

21 x y + 15 x + 35 ry + 25 r

6 x^{2} - 18 x - 24 = 36

\frac{4 x ^{- 3} y ^{4}}{8 x ^{2} ( y ^{- 3} ) ^{2}}

(x^{4})^{\frac{3}{2}}