Answer:
Step-by-step explanation:
Use (a +b)² = a² +2ab + b² for (5y + 1)² and Use FOIL method for (3y + 4)(2-3y)
(5y + 1)² - (3y + 4)(2 -3y) = (5y)² + 2*5y*1 + 1² - [ 3y*2 + 3y*(-3y) + 4*2 + 4*(-3y) ]
=25y² + 10y + 1 - [ 6y - 9y² + 8 - 12y]
= 25y² + 10y + 1 - [ -9y² + 8 - 12y + 6y ]
= 25y² + 10y + 1 - [ -9y² + 8 - 6y ]
= 25y² + 10y + 1 + 9y² - 8 + 6y
= 25y² + 9y² + 10y + 6y + 1 - 8
= 34y² + 16y - 7
