Question

{(X+5)(x-2)-(x-4)(x+4)

Answer 1

Ответ:

3х+6

Объяснение:

Answer 2

Объяснение:

$(x + 5)(x - 2) - (x - 4)(x + 4) = {x}^{2} - 2x + 5x - 10 - ( {x}^{2} - 16) = ( {x}^{2} - 2x + 5x - 10 - {x}^{2} + 16 = 3x + 6$

Answer 3

Let's simplify the given expression step by step:

1. Expand the first term: (X+5)(x-2) = X(x) + X(-2) + 5(x) + 5(-2) = X^2 - 2X + 5X - 10 = X^2 + 3X - 10

2. Expand the second term: (x-4)(x+4) = x(x) + x(4) - 4(x) - 4(4) = x^2 + 4x - 4x - 16 = x^2 - 16

3. Substitute the expanded terms back into the original expression: (X^2 + 3X - 10) - (x^2 - 16)

4. Distribute the negative sign in the second term: X^2 + 3X - 10 - x^2 + 16

5. Combine like terms: X^2 - x^2 + 3X - 10 + 16

6. Simplify: -x^2 + X^2 + 3X + 6

So, the simplified expression is: X^2 - x^2 + 3X + 6.