What is factor 5a^2b^4-9a^4b^2 ?

The solution to factor 5a^2b^4-9a^4b^2 is a^2b^2(5b^2-9a^2)

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factor 5a^2b^4-9a^4b^2

factor

5 a^{2} b^{4} - 9 a^{4} b^{2}

a^{2} b^{2} (5 b^{2} - 9 a^{2})

Solution steps

5 a^{2} b^{4} - 9 a^{4} b^{2}

Apply exponent rule:

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

a^{2} b^{4} = a^{2} b^{2} b^{2}, a^{4} b^{2} = a^{2} a^{2} b^{2}

= 5 a^{2} b^{2} b^{2} - 9 a^{2} a^{2} b^{2}

Factor out common term

a^{2} b^{2}

= a^{2} b^{2} (5 b^{2} - 9 a^{2})

\frac{( x ^{n + 1} )}{( n + 1 )}

\frac{( x - 2 )}{( x + 3 )} \frac{( x + 1 )}{x}

(u + 2 w) (4 u - 3 w - 2)

(x + y)^{3} - (x + y)

2 x^{2} y^{3} - 4 x^{2} z

What is factor 5a^2b^4-9a^4b^2 ?
The solution to factor 5a^2b^4-9a^4b^2 is a^2b^2(5b^2-9a^2)