Question

1)(5x-3)²-(3x-4)(3x+4)-10x =(4x-5)²​

Answer 1

Ответ:

Утверждение верно для любого значения х, потому что обе части одинаковы

Объяснение:

(5x-3)²-(3x-4)(3x+4)-10x =(4x-5)²

Раскрываем скобки:

25х²-30х+9-(9х²-16)-10х=16х²-40х+25

25х²-30х+9-9х²+16-10х=16х²-40х+25

Сокращаем:

16х²-40х+25=16х²-40х+25

Answer 2

Let's simplify the given equation step by step:

(5x - 3)² - (3x - 4)(3x + 4) - 10x = (4x - 5)²

First, expand the squared terms:

(25x² - 30x + 9) - (9x² - 16) - 10x = (16x² - 40x + 25)

Now, distribute the negative sign to both terms inside the parentheses:

25x² - 30x + 9 - 9x² + 16 - 10x = 16x² - 40x + 25

Next, combine like terms on both sides of the equation:

(25x² - 9x²) + (-30x - 10x) + (9 + 16) = 16x² - 40x + 25

This simplifies further:

16x² - 40x + 25 = 16x² - 40x + 25

As you can see, both sides of the equation are identical. This means that the given equation is an identity, and it holds true for all real values of x.