Answer :
The expressions x² + 25 and (x + 5)² are not equal because when we expand (x + 5)², we get x² + 20x + 25. This is different from x² + 25.
The expressions x² + 25 and (x + 5)² are not equal because when we expand the expression (x + 5)² using the distributive property, we get (x + 5)(x + 5) which simplifies to x² + 10x + 10x + 25 = x² + 20x + 25. This is different from x² + 25, which does not have any x terms.
For example, let's substitute a value for x to demonstrate the difference:
If x = 2, then x² + 25 = 2² + 25 = 4 + 25 = 29.
However, (x + 5)² = (2 + 5)² = 7² = 49. So, x² + 25 and (x + 5)² give different results for the same value of x, showing that they are not equal.
complete question:
: Practice and Problem Solving Copy 1,
GEBRA II A
XL for School: Practice and Problem-Solving Copy 1
Explain why x² +25 is not equal to (x + 5)².
The expressions are not equal because when the expression (x + 5)2 is written as the product (x+5)(x + 5) and expanded, it is necessary to apply the
eading to a(n)
that is missing from the expression x² +25.
