What is factor a^4-25b^2+30b-9 ?

The solution to factor a^4-25b^2+30b-9 is (a^2+5b-3)(a^2-5b+3)

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factor a^4-25b^2+30b-9

factor

a^{4} - 25 b^{2} + 30 b - 9

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

Solution steps

a^{4} - 25 b^{2} + 30 b - 9

Factor

- 25 b^{2} + 30 b - 9 : - (5 b - 3)^{2}

= a^{4} - (5 b - 3)^{2}

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

cos (18 0^{\circ}) + x

(s + 1)^{5}

4 x - 14 x^{3}

125 m^{3} - 1331 n^{3}

30 h^{28759} - 0 - 0

What is factor a^4-25b^2+30b-9 ?
The solution to factor a^4-25b^2+30b-9 is (a^2+5b-3)(a^2-5b+3)