Question

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

Answer 1

Объяснение:

(x - 5)^2 - 4x (x + 3)=-3х^2-22х+25

Answer 2

$(x-5)^2-4x(x+3)=x^2-10x+25-4x^2-12x= -3x^2-22x+25$

Answer 3

To simplify the expression $(x - 5)^2 - 4x(x + 3)$, you can expand both terms and then combine like terms. Here's how to do it step by step:

1. Expand the first term, $(x - 5)^2$, using the square of a binomial formula: $(a - b)^2 = a^2 - 2ab + b^2$.

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

2. Expand the second term, $4x(x + 3)$, by distributing the $4x$ across the terms inside the parentheses.

   $4x(x + 3) = 4x^2 + 12x$

3. Now, subtract the second term from the first term:

   $(x^2 - 10x + 25) - (4x^2 + 12x)$

4. Distribute the negative sign through the second term in the parentheses:

   $x^2 - 10x + 25 - 4x^2 - 12x$

5. Combine like terms:

   $(-3x^2 - 22x + 25)$

So, the simplified expression is $-3x^2 - 22x + 25$.