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Popular >

factor (x-5)^2-16

Solution

factor

(x - 5)^{2} - 16

Solution

(x - 1) (x - 9)

Solution steps

(x - 5)^{2} - 16

Factor the number:

16 = 4^{2}

= (x - 5)^{2} - 4^{2}

Apply Difference of Two Squares Formula:

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

(x - 5)^{2} - 4^{2} = ((x - 5) + 4) ((x - 5) - 4)

= ((x - 5) + 4) ((x - 5) - 4)

Simplify

((x - 5) + 4) ((x - 5) - 4) : (x - 1) (x - 9)

= (x - 1) (x - 9)

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Frequently Asked Questions (FAQ)

What is factor (x-5)^2-16 ?
The solution to factor (x-5)^2-16 is (x-1)(x-9)