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find the product of (x+2)(x-3)

Sagot :

FOIL METHOD

Answer:

  • [tex]x {}^{2} - x - 6[/tex]

Step-by-step explanation:

To find the product of the given binomial, we will use the foil method. Where;

  • F - first term
  • [tex](x \cdot x = x {}^{2} )[/tex]

  • O - outer term
  • [tex](x \cdot ( - 3) = - 3x)[/tex]

  • I - inner term
  • [tex](2 \cdot x = 2x)[/tex]

  • L - last term
  • [tex](2 \cdot ( - 3) = - 6)[/tex]

Gather up the product:

[tex]x {}^{2} - 3x + 2x - 6[/tex]

Collect all the similar terms:

[tex] {x}^{2} ( - 3x + 2x = - x )- 6[/tex]

Write down the results:

[tex] {x}^{2} - x - 6[/tex]

Therefore, the product of the given binomial is x² - x - 6.