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

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

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

factor

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

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

Solution steps

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

Apply exponent rule:

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

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

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

Factor out common term

a^{2} b^{2}

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

216 x^{3} + 1

\frac{12 x y ^{5}}{20 x ^{3} y ^{7}}

\frac{a + 7}{a ^{2} + 6 a - 7}

\frac{7}{12} x - \frac{1}{4} = 5

x^{2} - 9 + x^{2} - x - 21 = 0

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