What is factor a^2-4ab-45b^2 ?

The solution to factor a^2-4ab-45b^2 is (a+5b)(a-9b)

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factor a^2-4ab-45b^2

factor

a^{2} - 4 ab - 45 b^{2}

(a + 5 b) (a - 9 b)

Solution steps

a^{2} - 4 ab - 45 b^{2}

Break the expression into groups

= (a^{2} + 5 ab) + (- 9 ab - 45 b^{2})

Factor out

a

from

a^{2} + 5 ab : a (a + 5 b)

Factor out

- 9 b

from

- 9 ab - 45 b^{2} : - 9 b (a + 5 b)

= a (a + 5 b) - 9 b (a + 5 b)

Factor out common term

a + 5 b

= (a + 5 b) (a - 9 b)

12 \cdot \frac{1}{4}

x y^{2} - 36 x - 5 y^{2} + 180

8 x < 16

6 x^{2} = 30

1 + \frac{0.02}{4}

What is factor a^2-4ab-45b^2 ?
The solution to factor a^2-4ab-45b^2 is (a+5b)(a-9b)