Respuesta :
Answer:
(2x - 3y)(4x - y) = 8x² - 14xy + 3y²
Step-by-step explanation:
Use FOIL: (a + b)(c + d) = ac + ad + bc + bd
(2x - 3y)(4x - y) = (2x)(4x) + (2x)(-y) + (-3y)(4x) + (-3y)(-y)
= 8x² - 2xy - 12xy + 3y²
combine like terms
= 8x² + (-2xy - 12xy) + 3y² = 8x² - 14xy + 3y²
You must FOIL (first, outside, inside, last)
First (The first number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
[tex]8x^{2}[/tex]
Outside (The outside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-2xy
Inside (The inside number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
-12xy
Last (The last number/variable of each parentheses must be multiplied together)
(2x - 3y)(4x - y)
[tex]3y^{2}[/tex]
Now add/subtract each FOIL answer according to its sign
[tex]8x^{2}[/tex] - 2xy - 12xy + [tex]3y^{2}[/tex]
Combine like terms
[tex]8x^{2}[/tex] + [tex]3y^{2}[/tex] - 14xy
Hope this helped!
~Just a girl in love with Shawn Mendes