What is factor a^2b^2+a^3b^3+a^2b^4 ?

The solution to factor a^2b^2+a^3b^3+a^2b^4 is a^2b^2(1+ab+b^2)

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factor a^2b^2+a^3b^3+a^2b^4

factor

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

a^{2} b^{2} (1 + ab + b^{2})

Solution steps

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

Apply exponent rule:

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

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

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

Factor out common term

a^{2} b^{2}

= a^{2} b^{2} (1 + ab + b^{2})

x^{4} + 15 x^{2} + 36

\frac{n ( n + 1 )}{2 \cdot ( n \frac{( n + 1 )}{2} ) ^{2}}

\frac{x ^{\frac{1}{2}} \cdot x ^{- 3}}{2}

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

y^{- 3} x^{6} + y^{6} x^{- 3}

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