Is it always true that (x+4) squared equals x squared plus 16?
2 answers:
Hello.
No, (x+4)² doesn't equal x²+16.
Let's see why.
Remember that
x times x = x²
4 times 4 = 4²=16
So it seems like (x+4)² is equal to x²+16.
However,
(x+4)²≠x²+16.
Well, what IS that equal to?
Turns out that
(x+4)² is equal to x² + twice the product of x and 4 +16 (!)
(x+4)²=x²+2*4*x+4²
(x+4)²=x²+8x+16
Therefore, (x+4)²=x²+8x+16.
I hope it helps.
Have an outstanding day. :)
You might be interested in
Answer:
The equation that will determine the cost of two folders is; 3x = 2× $2.91
and the cost of the 2 folders is $1.94
Step-by-step explanation:
To solve this problem, we will follow the steps below;
Using proportion;
Let x be the cost of 2 folders
3 folders = $2.91
2 folders = x
Cross-multiply
3x = 2× $2.91
The equation that will determine the cost of two folders is
3x = 2× $2.91
We can go ahead and solve
3x = $5.82
Divide both-side of the equation by 3
=
x = $ 1.94
The cost of 2 folders is $1.94