What is factor 9b^2-4a^2+20a-25 ?

The solution to factor 9b^2-4a^2+20a-25 is (3b+2a-5)(3b-2a+5)

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factor 9b^2-4a^2+20a-25

factor

9 b^{2} - 4 a^{2} + 20 a - 25

(3 b + 2 a - 5) (3 b - 2 a + 5)

Solution steps

9 b^{2} - 4 a^{2} + 20 a - 25

Factor

- 4 a^{2} + 20 a - 25 : - (2 a - 5)^{2}

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

Simplify

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

= (3 b)^{2} - (2 a - 5)^{2}

Apply Difference of Two Squares Formula:

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

(3 b)^{2} - (2 a - 5)^{2} = (3 b + (2 a - 5)) (3 b - (2 a - 5))

= (3 b + (2 a - 5)) (3 b - (2 a - 5))

Simplify

(3 b + (2 a - 5)) (3 b - (2 a - 5)) : (3 b + 2 a - 5) (3 b - 2 a + 5)

= (3 b + 2 a - 5) (3 b - 2 a + 5)

x^{10} - (1 0^{x})^{6} + 9 x

tan^{2} (2 x) - sin^{22} (x)

125 m^{3} + 64 n^{3}

0.5 \times (\frac{- 2}{7})

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

What is factor 9b^2-4a^2+20a-25 ?
The solution to factor 9b^2-4a^2+20a-25 is (3b+2a-5)(3b-2a+5)