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

The solution to factor a^6b^7-a^4b^3+a^3b^5-a^3b^3 is a^3b^3(a^3b^4-a+b^2-1)

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factor a^6b^7-a^4b^3+a^3b^5-a^3b^3

factor

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

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

Solution steps

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

Apply exponent rule:

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

a^{6} b^{7} = a^{3} a^{3} b^{3} b^{4}, a^{4} b^{3} = a^{3} a b^{3}, a^{3} b^{5} = a^{3} b^{3} b^{2}

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

Factor out common term

a^{3} b^{3}

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

4^{∣ x + 8 ∣} = 64

2 a c - 5 b d - 2 a + 2 a d + 5 b - 5 b c

(32 x^{30} y^{- 20})^{- \frac{3}{5}}

y - 9 = 0

2 x + 1 > 9

What is factor a^6b^7-a^4b^3+a^3b^5-a^3b^3 ?
The solution to factor a^6b^7-a^4b^3+a^3b^5-a^3b^3 is a^3b^3(a^3b^4-a+b^2-1)