Rationalizing the denominator involves exploiting the well-known difference of squares formula,

We have

so that

Rewrite 16 and 32 as powers of 2, then simplify:






So we have <em>A</em> = 8, <em>B</em> = 2, <em>C</em> = 4, and <em>D</em> = 7, and thus <em>A</em> + <em>B</em> + <em>C</em> + <em>D</em> = 21.
Answer:
Step-by-step explanation:
Expression given → 4 - 9x + 21
Chang's expression → 4 - 3(3x + 7)
Chang's expression is incorrect because the correct expression is [4 - 3(3x - 7)]
Benjamin's expression → 4 + 3(3x + 7)
Benjamin's expression is incorrect because the correct expression is [4 - 3(3x - 7)]
Habib's expression → 4 + 12x
Habib's expression is incorrect because the correct expression is [4 - 3(3x - 7)]
Correct expression → [4 - 3(3x - 7)]
Hello!
Let's write this as an equation.
3(x+3)=5x-3
First, let's simplify the parentheses.
3x+9=5x-3
Let's subtract 5x from both sides.
-2x+9=-3
We subtract 9 from both sides.
-2x=-12
We divide both sides by -2.
x=6
Therefore, the number is 6.
I hope this helps!
I'm pretty sure it is C....