What is factor a^2+4-4a-9b^2 ?

The solution to factor a^2+4-4a-9b^2 is (a-2+3b)(a-2-3b)

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factor a^2+4-4a-9b^2

factor

a^{2} + 4 - 4 a - 9 b^{2}

(a - 2 + 3 b) (a - 2 - 3 b)

Solution steps

a^{2} + 4 - 4 a - 9 b^{2}

Factor

a^{2} + 4 - 4 a : (a - 2)^{2}

= (a - 2)^{2} - 9 b^{2}

Simplify

9 b^{2} : (3 b)^{2}

= (a - 2)^{2} - (3 b)^{2}

Apply Difference of Two Squares Formula:

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

(a - 2)^{2} - (3 b)^{2} = ((a - 2) + 3 b) ((a - 2) - 3 b)

= ((a - 2) + 3 b) ((a - 2) - 3 b)

Apply rule:

(a) = a

(a - 2) = a - 2

= (a - 2 + 3 b) (a - 2 - 3 b)

\frac{7 x + 3}{- 2} \leq 7 x + 5

- 3 x^{2} - 10 x - 8

\frac{- 9 + x}{10} = - 2

2 \leq 3 - 2 x < 6

- 5 + \frac{x}{4} > 10

What is factor a^2+4-4a-9b^2 ?
The solution to factor a^2+4-4a-9b^2 is (a-2+3b)(a-2-3b)