What is factor (x-1)^2-16y^2 ?

The solution to factor (x-1)^2-16y^2 is (x-1+4y)(x-1-4y)

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factor (x-1)^2-16y^2

factor

(x - 1)^{2} - 16 y^{2}

(x - 1 + 4 y) (x - 1 - 4 y)

Solution steps

(x - 1)^{2} - 16 y^{2}

Simplify

16 y^{2} : (4 y)^{2}

= (x - 1)^{2} - (4 y)^{2}

Apply Difference of Two Squares Formula:

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

(x - 1)^{2} - (4 y)^{2} = ((x - 1) + 4 y) ((x - 1) - 4 y)

= ((x - 1) + 4 y) ((x - 1) - 4 y)

Apply rule:

(a) = a

(x - 1) = x - 1

= (x - 1 + 4 y) (x - 1 - 4 y)

5. 3^{2}

(5 x y)^{5}

\frac{5 x ^{2}}{x ^{2}}

\frac{- 18 n ^{2} m ^{4} w ^{4}}{- 3 n m ^{3} w ^{5}}

\frac{21}{5} + \frac{8}{7}

What is factor (x-1)^2-16y^2 ?
The solution to factor (x-1)^2-16y^2 is (x-1+4y)(x-1-4y)