Question

(5x-3) (x-4) -(2x+5) (3x-4) simplify

Answer 1

Answer:

-x² - 30x + 32

Step-by-step explanation:

Here we have

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

First lets multiply the first term.

This gives,

(5x - 3)(x - 4)

= 5x(x - 4) - 3(x - 4)

= 5x² - 20x - 3x + 12

= 5x² - 23x + 12.

Now the second term.

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

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

6x² - 8x + 15x - 20

= 6x² + 7x - 20.

Now lets subtract them.

This gives,

5x² - 23x + 12 -(6x² + 7x - 20)

Thus,

5x² - 6x² - 23x - 7x + 12 + 20

= -x² - 30x + 32.