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(5y + 1)²- (3y + 4) (2-3y)

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5 votes

Answer:

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

User Ranjeet Ranjan
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