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Popular >

factor a^2-18a+81

Solution

factor

a^{2} - 18 a + 81

Solution

(a - 9)^{2}

Solution steps

a^{2} - 18 a + 81

Rewrite in the form of

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

81 = 9^{2}

- 18 a = - 2 a \cdot 9

= a^{2} - 2 a \cdot 9 + 9^{2}

Apply Perfect Square Formula:

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

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

= (a - 9)^{2}

Popular Examples

2 x + 7 = 23

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\frac{2 + 10 i}{9 - 6 i}

simplify 5k+(-2k)-(-1)simplify

5 k + (- 2 k) - (- 1)

Frequently Asked Questions (FAQ)

What is factor a^2-18a+81 ?
The solution to factor a^2-18a+81 is (a-9)^2