What is factor a^2-6ab^2+9b^4 ?

The solution to factor a^2-6ab^2+9b^4 is (a-3b^2)^2

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factor a^2-6ab^2+9b^4

factor

a^{2} - 6 a b^{2} + 9 b^{4}

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

Solution steps

a^{2} - 6 a b^{2} + 9 b^{4}

Break the expression into groups

= (a^{2} - 3 a b^{2}) + (- 3 a b^{2} + 9 b^{4})

Factor out

a

from

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

Factor out

- 3 b^{2}

from

- 3 a b^{2} + 9 b^{4} : - 3 b^{2} (a - 3 b^{2})

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

Factor out common term

a - 3 b^{2}

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

Apply exponent rule:

aa = a^{2}

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

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

csc (x) - csc (x) cos^{2} (x)

(2 k - 4) (2 k + 4)

\frac{- 48}{- 6}

\frac{4}{3} π (r + 4)^{3}

\frac{40}{36}

What is factor a^2-6ab^2+9b^4 ?
The solution to factor a^2-6ab^2+9b^4 is (a-3b^2)^2