Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Méthode FOIL
- Produit de binômes avec terme commun
- Facteur
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We can multiply the polynomials $\left(3x+5\right)\left(2x+3\right)$ by using the FOIL method. The acronym F O I L stands for multiplying the terms in each bracket in the following order: First by First ($F\times F$), Outer by Outer ($O\times O$), Inner by Inner ($I\times I$), Last by Last ($L\times L$)
Then, combine the four terms in a sum
Substitute the values of the products
Apply the formula: $ab$$=ab$, where $ab=5\cdot 3$, $a=5$ and $b=3$
Apply the formula: $ab$$=ab$, where $ab=3\cdot 2x\cdot x$, $a=3$ and $b=2$
Apply the formula: $ab$$=ab$, where $ab=3\cdot 3x$, $a=3$ and $b=3$
Apply the formula: $ab$$=ab$, where $ab=5\cdot 2x$, $a=5$ and $b=2$
Combining like terms $9x$ and $10x$
Apply the formula: $x\cdot x$$=x^2$
