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Simplify the following: (Show your Solution).
16. (3x + y) (x + y)
17. (3x - y) (x + y)
18. (y + 5) (y - 3)
19. (7-5) (y + 3)
20. (y-5)(y-3)
pa help​


Sagot :

Answer:

16. 3x^2 + 4xy + y^2

17. 3x^2 + 2xy - y^2

18. y^2 +2y -15

19. 2y + 6

20. y^2 -8y +15

Step-by-step explanation:

Using FOIL method:

16. (3x + y) (x + y)

3x^2 + 3xy + xy + y^2 (combine like terms)

= 3x^2 + 4xy + y^2

17. (3x - y) (x + y)

3x^2 +3xy -xy -y^2 (combine like terms)

= 3x^2 + 2xy - y^2

18. (y + 5) (y - 3)

y^2 -3y +5y -15 (combine like terms)

= y^2 +2y -15

19.  (7-5) (y + 3)

7y + 21 -5y -15 (combine like terms)

= 2y + 6

20. (y-5) (y-3)

y^2 -3y -5y +15 (combine like terms)

= y^2 -8y +15