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Popular >

factor z^2-10z+25

Solution

factor

z^{2} - 10 z + 25

Solution

(z - 5)^{2}

Solution steps

z^{2} - 10 z + 25

Rewrite in the form of

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

25 = 5^{2}

- 10 z = - 2 z \cdot 5

= z^{2} - 2 z \cdot 5 + 5^{2}

Apply Perfect Square Formula:

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

z^{2} - 2 z \cdot 5 + 5^{2} = (z - 5)^{2}

= (z - 5)^{2}

Popular Examples

simplify (40-20(2))/(2^2)+1/2 simplify

\frac{40 - 20 ( 2 )}{2 ^{2}} + \frac{1}{2}

2 x^{2} - 4 = 7 x

simplify log_{8}(1/64)simplify

lo g_{8} (\frac{1}{64})

simplify (-30)/8 simplify

\frac{- 30}{8}

4 x = - 16

Frequently Asked Questions (FAQ)

What is factor z^2-10z+25 ?
The solution to factor z^2-10z+25 is (z-5)^2