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

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

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factor a^6b^4-a^3b^2+a^2b^7-a^2b^2

factor

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

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

Solution steps

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

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

Factor out common term

a^{2} b^{2}

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

3 y^{2} + 3 y - 4 y = 0

\frac{3}{4} + \frac{1}{5} x - \frac{1}{3} = \frac{4}{5} x

9 x - 5 = 15 x - 23

0.6 (10 n + 25) = 10 + 5 n

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