What is factor a^2-b^2+8b-16 ?

The solution to factor a^2-b^2+8b-16 is (a+b-4)(a-b+4)

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factor a^2-b^2+8b-16

factor

a^{2} - b^{2} + 8 b - 16

(a + b - 4) (a - b + 4)

Solution steps

a^{2} - b^{2} + 8 b - 16

Factor

- b^{2} + 8 b - 16 : - (b - 4)^{2}

= a^{2} - (b - 4)^{2}

Apply Difference of Two Squares Formula:

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

a^{2} - (b - 4)^{2} = (a + (b - 4)) (a - (b - 4))

= (a + (b - 4)) (a - (b - 4))

Simplify

(a + (b - 4)) (a - (b - 4)) : (a + b - 4) (a - b + 4)

= (a + b - 4) (a - b + 4)

(5 k - 4 m) 3

\frac{\frac{3.19 c m}{s}}{10 c m}

(3 x - y)^{2} - (2 x - 3 y)^{2}

4 \cdot (2 - 5 x)

9 x^{2} y^{2} - 6 x y - y^{2}

What is factor a^2-b^2+8b-16 ?
The solution to factor a^2-b^2+8b-16 is (a+b-4)(a-b+4)