What is factor (x-3)^2-11 ?

The solution to factor (x-3)^2-11 is (x-3+sqrt(11))(x-3-sqrt(11))

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factor (x-3)^2-11

factor

(x - 3)^{2} - 11

(x - 3 + 11) (x - 3 - 11)

Solution steps

(x - 3)^{2} - 11

Apply radical rule:

a = (a)^{2}

11 = (11)^{2}

= (x - 3)^{2} - (11)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x - 3)^{2} - (11)^{2} = ((x - 3) + 11) ((x - 3) - 11)

= ((x - 3) + 11) ((x - 3) - 11)

Refine

= (x + 11 - 3) (x - 3 - 11)

\frac{x ^{3} - 125}{x - 5}

a + b + ((a \cdot b) + 1)

[- 4.6]

[- 4.2]

a^{2} + 2 a (a + b) + (a + b) 2

What is factor (x-3)^2-11 ?
The solution to factor (x-3)^2-11 is (x-3+sqrt(11))(x-3-sqrt(11))