Question

(x-7)(3x-2)-(5x+1)(2x-4)

Answer 1

Ответ:

(х-7)(3х-2)-(5х+1)(2х-4)=3х²-2х-21х+14-10х²+20х-2х+4=-7х²-5х+18х

Объяснение:

Answer 2

To simplify the expression $(x-7)(3x-2)-(5x+1)(2x-4)$, you can use the distributive property to expand both sets of parentheses and then combine like terms:

$(x-7)(3x-2)-(5x+1)(2x-4)$

First, let's expand each term within the parentheses:

$(x-7)(3x-2) = 3x(x) - 3x(7) - 2(x) - 2(-7) = 3x^2 - 21x - 2x + 14$

$(5x+1)(2x-4) = 5x(2x) - 5x(4) + 1(2x) - 1(4) = 10x^2 - 20x + 2x - 4$

Now, let's simplify both of these expressions:

$3x^2 - 21x - 2x + 14$

$10x^2 - 20x + 2x - 4$

Next, subtract the second expression from the first:

$(3x^2 - 21x - 2x + 14) - (10x^2 - 20x + 2x - 4)$

Now, combine like terms:

$3x^2 - 23x + 14 - 10x^2 + 22x - 4$

Combine like terms:

$(3x^2 - 10x^2) + (-23x + 22x) + (14 - 4)$

Simplify:

$-7x^2 - x + 10$

So, the simplified expression is $-7x^2 - x + 10$.