Question

(3-5х)(1-2х+3хв квадрате)

Answer 1

(3-5х)(1-2х+3х^2) = 3*1 - 3*2x + 3*3x^2 - 5x*1 + 5x*2x - 5x*3x^2 = 3 - 6x + 9x^2 - 5x + 10x^2 - 15x^3 = -15x^3 + 19x^2 - 11x + 3

Answer 2

(3-5х)(1-2х+3х^2)=3-6х+9х^2-5х+10х^2-15х^3=3-11×+19х^2-15х^3

Answer 3

To simplify the expression, let's first expand the second term, (1 - 2x + 3x^2), and then distribute the result over the first term, (3 - 5x).

Step 1: Expand the second term, (1 - 2x + 3x^2):

(1 - 2x + 3x^2) = 1 - 2x + 3x^2

Step 2: Distribute the result over the first term, (3 - 5x):

(3 - 5x)(1 - 2x + 3x^2) = 3(1 - 2x + 3x^2) - 5x(1 - 2x + 3x^2)

Now, multiply each term:

= 3(1) - 3(2x) + 3(3x^2) - 5x(1) - 5x(-2x) - 5x(3x^2)

Simplify further:

= 3 - 6x + 9x^2 - 5x + 10x^2 - 15x^3

Now, combine like terms:

= 9x^2 + 10x^2 - 6x - 5x - 15x^3 + 3

Combine the x^2 terms:

= (9x^2 + 10x^2) - 6x - 5x - 15x^3 + 3

= 19x^2 - 11x - 15x^3 + 3

The simplified form of the expression is 19x^2 - 11x - 15x^3 + 3.