What is factor 5a^4b^4+25a^8b^3-30a^9b^4 ?

The solution to factor 5a^4b^4+25a^8b^3-30a^9b^4 is 5a^4b^3(b+5a^4-6a^5b)

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factor 5a^4b^4+25a^8b^3-30a^9b^4

factor

5 a^{4} b^{4} + 25 a^{8} b^{3} - 30 a^{9} b^{4}

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

Solution steps

5 a^{4} b^{4} + 25 a^{8} b^{3} - 30 a^{9} b^{4}

Apply exponent rule:

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

a^{4} b^{4} = a^{4} b^{3} b, a^{8} b^{3} = a^{4} a^{4} b^{3}, a^{9} b^{4} = a^{4} a^{5} b^{3} b

= 5 a^{4} b^{3} b + 25 a^{4} a^{4} b^{3} - 30 a^{4} a^{5} b^{3} b

Rewrite

- 30

6 \cdot 5

Rewrite

25

5 \cdot 5

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

Factor out common term

5 a^{4} b^{3}

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

(2 x^{2} + 8) - (- 6 x^{2} - 2 x + 5)

(\frac{4 ^{2}}{x ^{3}})^{2}

3 x^{2} + 7 x - 10

- 15 + (- 15)

(x + 1)^{2} (x - 3)

What is factor 5a^4b^4+25a^8b^3-30a^9b^4 ?
The solution to factor 5a^4b^4+25a^8b^3-30a^9b^4 is 5a^4b^3(b+5a^4-6a^5b)