Question

(2y-5)²)-(2y+5)²+40 упростите выражение​

Answer 1

Разность квадратов:

а²-в²=(а-в)(а+в)

(2у-5+2у+5)(2у-5-2у-5)+40=

4у*(-10)+40=

40-40у=40(1-у).

Answer 2

To simplify the given expression, we'll start by using the difference of squares formula, which states that:

(a^2 - b^2) = (a + b)(a - b)

Now, let's apply this formula to the given expression:

(2y - 5)^2 - (2y + 5)^2 + 40

Using the difference of squares:

= [(2y - 5) + (2y + 5)][(2y - 5) - (2y + 5)] + 40

Now, simplify each part:

= [2y - 5 + 2y + 5][2y - 5 - 2y - 5] + 40

Combine like terms:

= (4y)(-10) + 40

Now, multiply:

= -40y + 40

So, the simplified expression is -40y + 40.