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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

= (25 a^{4} - 15 a^{2} b) + (- 15 a^{2} b + 9 b^{2})

Factor out

5 a^{2}

from

25 a^{4} - 15 a^{2} b : 5 a^{2} (5 a^{2} - 3 b)

Factor out

- 3 b

from

- 15 a^{2} b + 9 b^{2} : - 3 b (5 a^{2} - 3 b)

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

Factor out common term

5 a^{2} - 3 b

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

Apply exponent rule:

aa = a^{2}

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

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

- 1 \cdot - 1

- 9 x^{2} + 4

1 6^{l o g_{2} (3)}

\frac{1}{2} - \frac{2}{9}

\frac{23}{12} + \frac{5}{70}

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