In the given problem, apply your knowledge in algebra and basic mathematics specially in multiplication of polynomials.
(2x+y)(x-2y)
= (2x)(x) + [(2x)(-2y) + (x)(y)] + (y)(-2y)
= 2x² + [-4xy + xy] + (-2y²)
(y-3)(2y+5)
= (y)(2y) + (y)(5) + (-3)(2y) + (-3)(5)
= 2y² + 5y - 6y - 6
(r+2t)(8r+t-w)
= 8r² + rt - rw
8rt + 2t² - 2tw
-----------------------------------
(4b-1)(3b²-2b-5)
= (4b)(3b²) + (4b)(-2b) + (4b)(-5) + (-1)(3b²) + (-1)(-2b) + (-1)(-5)
= 12b³ + (-8b²) + (-20b) + (-3b²) + (2b) + (5)
(9a²+a-2)(3a+2)
= 27a³ + 18a²
+ 3a² + 2a
- 6a - 4
----------------------------------
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Verified answer
In the given problem, apply your knowledge in algebra and basic mathematics specially in multiplication of polynomials.
FOIL
(2x+y)(x-2y)
= (2x)(x) + [(2x)(-2y) + (x)(y)] + (y)(-2y)
= 2x² + [-4xy + xy] + (-2y²)
= 2x² - 3xy - 2y²
HORIZONTAL
(y-3)(2y+5)
= (y)(2y) + (y)(5) + (-3)(2y) + (-3)(5)
= 2y² + 5y - 6y - 6
= 2y² - y - 6
VERTICAL
(r+2t)(8r+t-w)
= 8r² + rt - rw
8rt + 2t² - 2tw
-----------------------------------
= 8r² + 9rt - rw + 2t² - 2tw
HORIZONTAL
(4b-1)(3b²-2b-5)
= (4b)(3b²) + (4b)(-2b) + (4b)(-5) + (-1)(3b²) + (-1)(-2b) + (-1)(-5)
= 12b³ + (-8b²) + (-20b) + (-3b²) + (2b) + (5)
= 12b³ - 11b² - 18b + 5
VERTICAL
(9a²+a-2)(3a+2)
= 27a³ + 18a²
+ 3a² + 2a
- 6a - 4
----------------------------------
= 27a³ + 21a² - 4a - 4
Learn more about multiplication of polynomials here at
brainly.ph/question/1147511
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#BRAINLYFAST