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which of the following shows the foil method of multiplying (2x-4) and (3x +3)?

Sagot :

Answer:

6x² - 6x - 12

Step-by-step explanation:

(2x)(3x) + (-4)(3) + (-4)(3x) + (2x)(3)

6x² -12 - 12x + 6x

= 6x² - 6x - 12

[tex] \large{\sf{Problem}}[/tex]

which of the following shows the Foil method of multiplying (2x-4) and (3x +3)?

[tex] \large{\sf{Solution}}[/tex]

[tex] \large{\tt{(2x - 4) \: (3x + 3)}}[/tex]

[tex] \tt{ = (2x) \: (3x) + \: (2x) \: (3) + \: ( - 4) \: (3x) + \: ( - 4) \: (3)}[/tex]

[tex] \tt{= 6 {x}^{2} + 6x - 12x - 12}[/tex]

[tex] \bold{\tt{= 6{x}^{2} - 6x - 12}}[/tex]

[tex] \large{\sf{Answer}}[/tex]

[tex] \sf{(2x - 4) \: (3x + 3)} \: = \: \boxed{\large{\sf{6 {x}^{2} - 6x - 12}}}[/tex]