Question

(5+2y) (y-3) -(5-2y) ^2

Answer 1

5y-15+2y²-6y-(25-20y+4y²)=5y-15+2y²-6y-25+20y-4y²=-2y²-19y-35

Answer 2

1) перемножаешь скобки
2) раскрываешь скобку (5-2у)^2
3) приводишь подобные

Answer 3

To simplify the expression (5+2y)(y-3) - (5-2y)^2, you can follow these steps:

1. Expand the first term, (5+2y)(y-3), using the distributive property:

   (5+2y)(y-3) = 5(y) + 2y(y) - 5(3) - 2y(3)

   Simplify this expression:

   5y + 2y^2 - 15 - 6y

2. Expand the second term, (5-2y)^2, by squaring it:

   (5-2y)^2 = (5-2y)(5-2y)

   Use the distributive property to expand this expression:

   (5-2y)(5-2y) = 5(5) - 2y(5) - 2y(5) + (2y)^2

   Simplify this expression:

   25 - 10y - 10y + 4y^2

Now, subtract the expanded second term from the expanded first term:

(5y + 2y^2 - 15 - 6y) - (25 - 10y - 10y + 4y^2)

Now, combine like terms:

5y - 6y - 10y = -11y 2y^2 - 4y^2 = -2y^2 -15 - 25 = -40

So, the simplified expression is:

-11y - 2y^2 - 40