Question

(x +3)(x-3)-(x-4)^2 упростите выражение

Answer 1

Ответ:

8х-25

Объяснение:

х²-9 - (х²-8х+16) = х²-9-х²+8х-16 = 8х-25

Answer 2

To simplify the given expression, let's first expand it and then combine like terms:

Given expression: (x + 3)(x - 3) - (x - 4)^2

Step 1: Expand the expressions within parentheses.

(x + 3)(x - 3) = x * (x - 3) + 3 * (x - 3) = x^2 - 3x + 3x - 9 = x^2 - 9

(x - 4)^2 = (x - 4)(x - 4) = x * (x - 4) - 4 * (x - 4) = x^2 - 4x - 4x + 16 = x^2 - 8x + 16

Step 2: Substitute the expanded expressions back into the original expression.

(x + 3)(x - 3) - (x - 4)^2 = (x^2 - 9) - (x^2 - 8x + 16)

Step 3: Distribute the negative sign.

= x^2 - 9 - x^2 + 8x - 16

Step 4: Combine like terms.

= (x^2 - x^2) + 8x - 9 - 16

= 8x - 25

So, the simplified expression is: 8x - 25