What is factor 16a^3b^7+2a^6b^4-22a^4b^5 ?

The solution to factor 16a^3b^7+2a^6b^4-22a^4b^5 is 2a^3b^4(8b^3+a^3-11ab)

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factor 16a^3b^7+2a^6b^4-22a^4b^5

factor

16 a^{3} b^{7} + 2 a^{6} b^{4} - 22 a^{4} b^{5}

2 a^{3} b^{4} (8 b^{3} + a^{3} - 11 ab)

Solution steps

16 a^{3} b^{7} + 2 a^{6} b^{4} - 22 a^{4} b^{5}

Apply exponent rule:

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

a^{3} b^{7} = a^{3} b^{4} b^{3}, a^{6} b^{4} = a^{3} a^{3} b^{4}, a^{4} b^{5} = a^{3} a b^{4} b

= 16 a^{3} b^{4} b^{3} + 2 a^{3} a^{3} b^{4} - 22 a^{3} a b^{4} b

Rewrite

- 22

11 \cdot 2

Rewrite

16

8 \cdot 2

= 8 \cdot 2 a^{3} b^{4} b^{3} + 2 a^{3} a^{3} b^{4} + 11 \cdot 2 a^{3} a b^{4} b

Factor out common term

2 a^{3} b^{4}

= 2 a^{3} b^{4} (8 b^{3} + a^{3} - 11 ab)

x^{2} - 3 x - 10 = 0

a^{2} + 5 a - 24

- 3 x + 2 \leq - 4

x^{2} + 8 x - 14 = 0

7 x^{2} + x - 1 < 3

What is factor 16a^3b^7+2a^6b^4-22a^4b^5 ?
The solution to factor 16a^3b^7+2a^6b^4-22a^4b^5 is 2a^3b^4(8b^3+a^3-11ab)