Question

(x - 3)² – (x – 4) (x +4).​

Answer 1

Ответ:

(х - 3) ² - (х - 4) (х + 4) =х²-6х+9-(х²-16) =х²-6х+9-х²+16=25-6х

Answer 2

To simplify the expression $(x - 3)^2 - (x - 4)(x + 4)$, you can start by expanding both parts of the expression and then combining like terms. Here's the step-by-step simplification:

1. Expand $(x - 3)^2$: $(x - 3)^2 = (x - 3)(x - 3) = x^2 - 3x - 3x + 9 = x^2 - 6x + 9$

2. Expand $(x - 4)(x + 4)$ using the distributive property: $(x - 4)(x + 4) = x(x) + x(4) - 4(x) - 4(4) = x^2 + 4x - 4x - 16 = x^2 - 16$

Now, you can substitute these expanded expressions back into the original expression:

$(x - 3)^2 - (x - 4)(x + 4) = (x^2 - 6x + 9) - (x^2 - 16)$

Now, distribute the negative sign through the second expression inside the parentheses:

$x^2 - 6x + 9 - x^2 + 16$

Now, combine like terms by simplifying:

$x^2 - x^2 - 6x + 16 + 9 = -6x + 25$

So, the simplified expression is $-6x + 25$.