Question

(5x + 3y) (25x2 - 15xy +9y²);​

Answer 1

Ответ:

125x³ + 27y³

Пошаговое объяснение:

Тут видна формула "сумма кубов"

a³ + b³ = (a + b)(a² - ab + b²)

(5x + 3y)(25x² - 15xy +9y²) = (5x)³ + (3y)³ = 125x³ + 27y³

Answer 2

To expand the expression (5x + 3y)(25x^2 - 15xy + 9y^2), we can use the distributive property and multiply each term from the first expression by each term in the second expression. Let's break it down step by step:

(5x + 3y)(25x^2 - 15xy + 9y^2)

First, we distribute 5x to each term in the second expression:

5x * 25x^2 + 5x * (-15xy) + 5x * 9y^2

This simplifies to:

125x^3 - 75x^2y + 45xy^2

Next, we distribute 3y to each term in the second expression:

3y * 25x^2 + 3y * (-15xy) + 3y * 9y^2

This simplifies to:

75x^2y - 45xy^2 + 27y^3

Finally, we combine the like terms:

125x^3 - 75x^2y + 45xy^2 + 75x^2y - 45xy^2 + 27y^3

Simplifying further:

125x^3 + 27y^3

So, the expanded form of (5x + 3y)(25x^2 - 15xy + 9y^2) is 125x^3 + 27y^3.