What is factor a^2*b^4+a^4*b^2 ?

The solution to factor a^2*b^4+a^4*b^2 is a^2b^2(b^2+a^2)

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factor a^2b^4+a^4b^2

factor

a^{2} \cdot b^{4} + a^{4} \cdot b^{2}

a^{2} b^{2} (b^{2} + a^{2})

Solution steps

a^{2} b^{4} + 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}

= a^{2} b^{2} b^{2} + a^{2} a^{2} b^{2}

Factor out common term

a^{2} b^{2}

= a^{2} b^{2} (b^{2} + a^{2})

(x + 1) 2 + (x - 1) 2

[\frac{( 81 y ^{8} )}{( 16 x ^{4} )}]^{\frac{3}{4}}

\frac{- x ^{3} + 4 x ^{2} - 3}{x - 1}

(i) x^{2} + x - 12

cos^{- 3} (x)

What is factor a^2*b^4+a^4*b^2 ?
The solution to factor a^2*b^4+a^4*b^2 is a^2b^2(b^2+a^2)