what is the missing coefficient of the x - term of the product (-x - 5)^2 after it has been…
what is the missing coefficient of the x - term of the product (-x - 5)^2 after it has been simplified?\n-25\n-10\n10\n25
Answer
Explanation:
Step1: Expand the square
Use the formula $(a + b)^2=a^{2}+2ab + b^{2}$. Here $a=-x$ and $b = - 5$. So $(-x - 5)^2=(-x)^2+2(-x)(-5)+(-5)^2$.
Step2: Simplify each term
$(-x)^2=x^{2}$, $2(-x)(-5)=10x$, and $(-5)^2 = 25$. So $(-x - 5)^2=x^{2}+10x + 25$.
Answer:
C. 10