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

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

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factor a^6b^4-a^3b^2+a^2b^5-a^2b^2

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Factor out common term

a^{2} b^{2}

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

2 (5 x + 9) = 48

\frac{5 π}{6} + 2 π (1)

(- 11 - 10 i)^{2}

36 k^{2} - 49

x^{2} + 17 x + 70 < 0

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