Question

1) 2х(х в 4 степ-5х в 3 степ +3 ) 2)(у-2) (3у-5) 3) (7х-3у) (2х+5у)

Answer 1

1) 2х^5-10х^4+6х
2) 3y^2-5y-6y-10=3y^2-11y-10
3) 14x^2+35xy-6xy-15y^2=14x^2+29xy-15y^2

Answer 2

Let's simplify each of the given expressions:

1. $2x(x^4 - 5x^3 + 3)$

To simplify this expression, we'll first expand the expression inside the parentheses:

$2x(x^4 - 5x^3 + 3) = 2x^5 - 10x^4 + 6x$

2. $(y - 2)(3y - 5)$

To simplify this expression, we'll use the FOIL method (First, Outer, Inner, Last):

$FOIL = y * 3y + y * (-5) + (-2) * 3y + (-2) * (-5)$

$= 3y^2 - 5y - 6y + 10$

$= 3y^2 - 11y + 10$

3. $(7x - 3y)(2x + 5y)$

Again, we'll use the FOIL method to simplify this expression:

$FOIL = 7x * 2x + 7x * 5y + (-3y) * 2x + (-3y) * 5y$

$= 14x^2 + 35xy - 6xy - 15y^2$

$= 14x^2 + (35xy - 6xy) - 15y^2$

$= 14x^2 + 29xy - 15y^2$

So, the simplified expressions are:

1. $2x^5 - 10x^4 + 6x$

2. $3y^2 - 11y + 10$

3. $14x^2 + 29xy - 15y^2$