Question

HELP PLEASEE ANYONE????> Can Anyone Factor This Out Completely Step By Step, PLEASE. 45z^3 +20z^2 +9z+4

Answer 1

\[45z^3+20z^2+9z+4\]Let's try factoring by grouping:
\[(45z^3+20z^2) + (9z+4)\]Factor each group:
\[5z^2(9z+4)+(9z+4)\]Observe that we have a common factor in each product term of \((9z+4)\) and regroup again
\[(9z+4)(5z^2+1)\]

Answer 2

That last step is essentially undoing the distributive property:

We went from \[c(a+b) + d(a+b)\]back to \[(a+b)(c+d)\]