Question

(2x+1)²-(x-5)(x+5)=​

Answer 1

Ответ:

X²-5=(x+5)(2x-1) x²-5=2x²+10x-x-5 x²-5=2x²+9x-5 x²+9x=0 x(x+9)=0 x₁=0 x₂=-9 Ответ: x₁=0, x₂=-9.

Answer 2

To simplify the expression (2x+1)² - (x-5)(x+5), you can follow these steps:

1. Expand the square of the binomial (2x+1)²: (2x+1)² = (2x+1)(2x+1) = 4x² + 2x + 2x + 1 = 4x² + 4x + 1

2. Expand the product of the two binomials (x-5)(x+5) using the FOIL method (First, Outer, Inner, Last): (x-5)(x+5) = x(x) + x(5) - 5(x) - 5(5) = x² + 5x - 5x - 25

Now, we can simplify the expression by subtracting the second expression from the first one: (4x² + 4x + 1) - (x² + 5x - 5x - 25)

Now, simplify by combining like terms:

4x² + 4x + 1 - x² - 5x + 5x + 25

The middle terms "5x" and "-5x" cancel each other out, leaving:

3x² + 1 + 25

Now, simplify the constants:

3x² + 26

So, the simplified expression is 3x² + 26.