What is factor a^2-b^2-10b-25 ?

The solution to factor a^2-b^2-10b-25 is (a+b+5)(a-b-5)

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factor a^2-b^2-10b-25

factor

a^{2} - b^{2} - 10 b - 25

(a + b + 5) (a - b - 5)

Solution steps

a^{2} - b^{2} - 10 b - 25

Factor

- b^{2} - 10 b - 25 : - (b + 5)^{2}

= a^{2} - (b + 5)^{2}

Apply Difference of Two Squares Formula:

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

a^{2} - (b + 5)^{2} = (a + (b + 5)) (a - (b + 5))

= (a + (b + 5)) (a - (b + 5))

Simplify

(a + (b + 5)) (a - (b + 5)) : (a + b + 5) (a - b - 5)

= (a + b + 5) (a - b - 5)

\frac{3}{2} \div \frac{5}{2}

5 i (- 4 + 2 i)

\frac{55}{70}

96 \times 4

\frac{1}{2} + \frac{1}{2} i

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