Question

2x(x+2)-(x+5)^2 Пример по математике

Answer 1

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

Answer 2

Mathematical Expression Simplification

To simplify the expression 2x(x+2)-(x+5)^2, we can follow the order of operations (PEMDAS/BODMAS) and apply the distributive property. Let's break it down step by step:

Step 1: Distribute the 2x to both terms inside the parentheses: 2x(x+2) = 2x^2 + 4x

Step 2: Expand the square of (x+5): (x+5)^2 = (x+5)(x+5) = x^2 + 10x + 25

Now, we can substitute the results back into the original expression:

2x(x+2)-(x+5)^2 = 2x^2 + 4x - (x^2 + 10x + 25)

Step 3: Simplify by combining like terms: 2x^2 + 4x - x^2 - 10x - 25 = x^2 - 6x - 25

Therefore, the simplified form of the expression 2x(x+2)-(x+5)^2 is x^2 - 6x - 25.

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