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Mathematics 18 Online
OpenStudy (queenv):

I need help at completely factoring this polynomial a4b+a2b3. a2b common terms?

OpenStudy (jdoe0001):

yeap

OpenStudy (jdoe0001):

\(\bf a^4b+a^2b^3 \implies a^2b(a^2+b^2)\)

OpenStudy (queenv):

is that completely factored out?

OpenStudy (jdoe0001):

well, yes, I don't think you can expand the \(\bf a^2+b^2\)

OpenStudy (jdoe0001):

not expand, factor rather

OpenStudy (queenv):

Is this using the distributive property? Could you explain what you did step by step?

OpenStudy (jdoe0001):

\(\bf a^4b+a^2b^3 \implies \color{blue}{a^2}a^2\color{blue}{b} + \color{blue}{a^2}b^2\color{blue}{b}\) notice the "factor" that's "common" to both, as you said if we take pluck it out of there, and stick them outside, all you're left is what's "not common" to both terms

OpenStudy (queenv):

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