What is factor a^2-20a+100 ?

The solution to factor a^2-20a+100 is (a-10)^2

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factor a^2-20a+100

factor

a^{2} - 20 a + 100

(a - 10)^{2}

Solution steps

a^{2} - 20 a + 100

Rewrite in the form of

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

100 = 1 0^{2}

- 20 a = - 2 a \cdot 10

= a^{2} - 2 a \cdot 10 + 1 0^{2}

Apply Perfect Square Formula:

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

a^{2} - 2 a \cdot 10 + 1 0^{2} = (a - 10)^{2}

= (a - 10)^{2}

64 x^{3} y^{6} - 216 z^{9}

(2 + i) (2 + 2 i)

\frac{15}{2} - 2

m^{\frac{5}{2}} 289

\frac{15}{4} + 1