Step-by-step Solution

Solve the product $\left(x+3\right)\left(x+m\right)$

Go!
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Final Answer

$x^2+xm+3x+3m$

Step-by-step explanation

Problem to solve:

$\:\left(x+3\right)\left(x+m\right)$

Choose the resolution method

1

We can multiply the polynomials $\left(x+3\right)\left(x+m\right)$ 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 $(x)(m)$
  • ($I\times I$) is $(3)(x)$
  • ($L\times L$) is $(3)(m)$

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

$x\cdot x+xm+3x+3m$
2

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

$x^2+xm+3x+3m$

Final Answer

$x^2+xm+3x+3m$

Problem Analysis

$\:\left(x+3\right)\left(x+m\right)$

Main topic:

Special products

Time to solve it:

~ 0.03 seconds