Answer:
Option A
Step-by-step explanation:
Given expression:
<u>Option A</u>
⇒ (x - 4)(3x + 2)
⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)
⇒ (3x²) + (2x) + (-12x) + (-8)
⇒ 3x² + 2x - 12x - 8
⇒ 3x² - 10x - 8
3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)
<u>Option B</u>
⇒ (3x - 4)(x - 2)
⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)
⇒ (3x²) + (-6x) + (-4x) + (8)
⇒ 3x² - 6x - 4x + (8)
⇒ 3x² - 10x + 8
3x² - 10x - 8 = 3x² - 10x + 8 (No!)
<u>Option C</u>
⇒ (3x - 4)(x + 2)
⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)
⇒ (3x²) + (6x) + (-4x) + (-8)
⇒ 3x² + 6x - 4x - 8
⇒ 3x² + 2x - 8
3x² - 10x - 8 = 3x² + 2x - 8 (No!)
<u>Option D</u>
⇒ (3x - 2)(x - 4)
⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)
⇒ (3x²) + (-12x) + (-2x) + (8)
⇒ 3x² - 12x - 2x + 8
⇒ 3x² - 14x + 8
3x² - 10x - 8 = 3x² - 14x + 8 (No!)
Since the expression of option A has the same value as the given expression, option A is correct.
Answer:
This is the answer of your question.
We can use the distributive property to simplify this expression.
I split this up into different parts--it helps me visualize better.
To begin, "-2m(m + n - 4)" becomes "-2m^2 - 2mn + 8m"
Then, "5(-2m + 2n)" becomes "-10m + 10n"
Finally, "n(m + 4n - 5)" becomes "mn + 4n^2 -n"
We can then simplify even further by combining like terms. The final expression is: C
Hope this helps!
3/5+1/2=6/10+5/10=11/10
hope this helps!
2= 2y - x
23 = 5y - 4x
isolate the x in the first equation
x = 2y - 2
now use this to substitute x in the second equation
23 = 5y - 4 (2y - 2)
23 = 5y - 8y + 6
23 = -3y + 6
-3y = 17
y = -5 2/3 (5.6 repeating )
now use that to find x in either equation.
2 = 2 (-5.66666) - x
2= -11.3 repeating - x
13.3 repeating = -x
x = -13.3 repeating
optional ** use the second equation to check
