What is factor a^9b^7-a^5b^4+a^4b^8-a^4b^4 ?

The solution to factor a^9b^7-a^5b^4+a^4b^8-a^4b^4 is a^4b^4(a^5b^3-a+b^4-1)

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factor a^9b^7-a^5b^4+a^4b^8-a^4b^4

factor

a^{9} b^{7} - a^{5} b^{4} + a^{4} b^{8} - a^{4} b^{4}

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

Solution steps

a^{9} b^{7} - a^{5} b^{4} + a^{4} b^{8} - a^{4} b^{4}

Apply exponent rule:

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

a^{9} b^{7} = a^{4} a^{5} b^{4} b^{3}, a^{5} b^{4} = a^{4} a b^{4}, a^{4} b^{8} = a^{4} b^{4} b^{4}

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

Factor out common term

a^{4} b^{4}

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

7 x + 14 \geq 42

1 0^{- 11}

3 m^{2} - 8 m - 5 = 0

\frac{2}{3} \cdot 4

4 y^{2} - y + 2 = 0

What is factor a^9b^7-a^5b^4+a^4b^8-a^4b^4 ?
The solution to factor a^9b^7-a^5b^4+a^4b^8-a^4b^4 is a^4b^4(a^5b^3-a+b^4-1)