What is factor+81g^2-90gh+25h^2 ?

The solution to factor+81g^2-90gh+25h^2 is (9g-5h)^2

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factor+81g^2-90gh+25h^2

factor

+ 81 g^{2} - 90 g h + 25 h^{2}

(9 g - 5 h)^{2}

Solution steps

81 g^{2} - 90 g h + 25 h^{2}

Rewrite in the form of

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

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

25 h^{2} = (5 h)^{2}

- 90 g h = - 2 \cdot 9 g \cdot 5 h

= (9 g)^{2} - 2 \cdot 9 g \cdot 5 h + (5 h)^{2}

Apply Perfect Square Formula:

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

(9 g)^{2} - 2 \cdot 9 g \cdot 5 h + (5 h)^{2} = (9 g - 5 h)^{2}

= (9 g - 5 h)^{2}

\frac{x}{x ^{- 5}}

(4 a + 9) (4 a - 9)

8 x + 5 2 x

5 a + 4 b + 6 a - 5 b

\frac{5 s ^{15} t ^{6}}{- 10 s ^{12} t}

What is factor+81g^2-90gh+25h^2 ?
The solution to factor+81g^2-90gh+25h^2 is (9g-5h)^2