Question

(5х-2у)в квадрате -9у в квадрате.

Answer 1

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

Answer 2

To expand the expression $(5x-2y)^2 - 9y^2$, we can use the formula for squaring a binomial:

$(a - b)^2 = a^2 - 2ab + b^2$.

In this case, $a = 5x$ and $b = 2y$:

$(5x - 2y)^2 = (5x)^2 - 2(5x)(2y) + (2y)^2$.

Now let's expand each term:

$(5x)^2 = 25x^2$.

$- 2(5x)(2y) = -20xy$.

$(2y)^2 = 4y^2$.

So the expression becomes:

$(5x - 2y)^2 - 9y^2 = 25x^2 - 20xy + 4y^2 - 9y^2$.

Now combine like terms:

$25x^2 - 20xy + 4y^2 - 9y^2 = 25x^2 - 20xy - 5y^2$.

Thus, the expanded form of the expression $(5x-2y)^2 - 9y^2$ is $25x^2 - 20xy - 5y^2$.