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Product of Binomials with Common Term Calculator

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1

Solved example of special products

$\left(x+2\right)\left(x+3\right)$
2

We can multiply the polynomials $\left(x+2\right)\left(x+3\right)$ 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 ($L\times L$):

  • ($F\times F$) is $(x)(x)$
  • ($O\times O$) is $(x)(3)$
  • ($I\times I$) is $(2)(x)$
  • ($L\times L$) is $(2)(3)$

Then, combine the four terms in a sum: $(F\times F) + (O\times O) + (I\times I) + (L\times L)$:

$x\cdot x+3x+2x+2\cdot 3$
3

Multiply $2$ times $3$

$x\cdot x+3x+2x+6$
4

When multiplying two powers that have the same base ($x$), you can add the exponents

$x^2+3x+2x+6$
5

Combining like terms $3x$ and $2x$

$x^2+5x+6$

Final Answer

$x^2+5x+6$

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