Final answer to the problem
$6x^2+19x+15$
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Step-by-step Solution
Specify the solving method
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 $5$ by each term of the polynomial $\left(2x+3\right)$
$3x\left(2x+3\right)+2\cdot 5x+3\cdot 5$
3
Multiply $2$ times $5$
$3x\left(2x+3\right)+10x+3\cdot 5$
4
Multiply $3$ times $5$
$3x\left(2x+3\right)+10x+15$
5
Solve the product $3x\left(2x+3\right)$
$\left(6x+9\right)x+10x+15$
6
Multiply the single term $x$ by each term of the polynomial $\left(6x+9\right)$
$6x\cdot x+9x+10x+15$
7
When multiplying two powers that have the same base ($x$), you can add the exponents
$6x^2+9x+10x+15$
8
Combining like terms $9x$ and $10x$
$6x^2+19x+15$
Final answer to the problem
$6x^2+19x+15$