What is factor a^5b^7-a^4b^3+a^3b^8-a^3b^3 ?

The solution to factor a^5b^7-a^4b^3+a^3b^8-a^3b^3 is a^3b^3(a^2b^4-a+b^5-1)

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factor a^5b^7-a^4b^3+a^3b^8-a^3b^3

factor

a^{5} b^{7} - a^{4} b^{3} + a^{3} b^{8} - a^{3} b^{3}

a^{3} b^{3} (a^{2} b^{4} - a + b^{5} - 1)

Solution steps

a^{5} b^{7} - a^{4} b^{3} + a^{3} b^{8} - a^{3} b^{3}

Apply exponent rule:

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

a^{5} b^{7} = a^{3} a^{2} b^{3} b^{4}, a^{4} b^{3} = a^{3} a b^{3}, a^{3} b^{8} = a^{3} b^{3} b^{5}

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

Factor out common term

a^{3} b^{3}

= a^{3} b^{3} (a^{2} b^{4} - a + b^{5} - 1)

- \frac{5}{6} x = 10

x^{2} + 8 x = 240

- 5 k + 10 = - 2 k - 14

- 4 x - 19 = x^{2}

x - (7 x - 3) \leq 7 - 2 (1 - 2 x)

What is factor a^5b^7-a^4b^3+a^3b^8-a^3b^3 ?
The solution to factor a^5b^7-a^4b^3+a^3b^8-a^3b^3 is a^3b^3(a^2b^4-a+b^5-1)