What is factor 12a^2b^2-18a^6b+30a^2b ?

The solution to factor 12a^2b^2-18a^6b+30a^2b is 6a^2b(2b-3a^4+5)

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factor 12a^2b^2-18a^6b+30a^2b

factor

12 a^{2} b^{2} - 18 a^{6} b + 30 a^{2} b

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

Solution steps

12 a^{2} b^{2} - 18 a^{6} b + 30 a^{2} b

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

a^{2} b^{2} = a^{2} bb, a^{6} b = a^{2} a^{4} b

= 12 a^{2} bb - 18 a^{2} a^{4} b + 30 a^{2} b

Rewrite

30

5 \cdot 6

Rewrite

- 18

3 \cdot 6

= 2 \cdot 6 a^{2} bb + 3 \cdot 6 a^{2} a^{4} b + 5 \cdot 6 a^{2} b

Factor out common term

6 a^{2} b

= 6 a^{2} b (2 b - 3 a^{4} + 5)

7^{2} + 2^{2}

\frac{7}{4} + (- \frac{6}{7})

- 2 \frac{3}{4} - (- 3 \frac{5}{6})

(5 x + 1)^{3}

(\frac{5}{2}) (\frac{8}{15})

What is factor 12a^2b^2-18a^6b+30a^2b ?
The solution to factor 12a^2b^2-18a^6b+30a^2b is 6a^2b(2b-3a^4+5)