Final Answer
$6x^2+19x+15$
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Step-by-step Solution
Problem to solve:
$\left(3x+5\right)\left(2x+3\right)$
1
Multiply the single term $2x+3$ by each term of the polynomial $\left(3x+5\right)$
$3x\left(2x+3\right)+5\left(2x+3\right)$
2
Multiply the single term $3x$ by each term of the polynomial $\left(2x+3\right)$
$6x^2+9x+5\left(2x+3\right)$
3
Multiply the single term $5$ by each term of the polynomial $\left(2x+3\right)$
$6x^2+9x+10x+15$
4
Combining like terms $9x$ and $10x$
$6x^2+19x+15$
Final Answer
$6x^2+19x+15$