Multiply the factors together. You should get the original expression.
For example, if we are to factor
2x^2 + 4x
we would factor as
2x(x + 2).
Check this by multiplying back in
2x*x + 2x*2 = 2x^2 + 4x
which is what we started with, so we know we are correct.
<span>a³-b³=(a-b)(a²+ab+b²)
64x⁶ - 27
64 = 4³,
x⁶ = (x²)³
27 = 3³
</span>64x⁶ - 27 = 4³(x²)³ -3³ = (4x²)³ -3³. Now, we can use a formula where a=4x², b=3
(4x²)³ -3³ = (4x² -3)((4x²)² +4x²*3 + 3²) = (4x² -3)(16x⁴ +12x² + 9)
<span>
Answer: </span>64x⁶ - 27= (4x² -3)(16x⁴ +12x² + 9) <span>
</span>
Complete Question
The length of the guy wire supporting a cell tower is 120 m. The guy wire is anchored to the ground at a distance of 80 m from the base of the tower to the nearest hundredth of a meter how tall is the tower?
Answer:
89.44m
Step-by-step explanation:
We solve this question using the Pythagoras Theorem
This is given as:
Hypotenuse² = Opposite ² + Adjacent ²
Hypotenuse = Length of the guy wire = 120m
Adjacent = Distance from the base of the tower = 80m
Opposite = Height of the building = x
Hence:
120² = x² + 80²
Collect like terms
x² = 120² - 80²
x = √120² - 80²
x = √(8000)
x = 89.4427191 m
Approximately the height of the tower is = 89.44m
Answer:
= 
* 2 + 
Step-by-step explanation:
lets start with what we know.
the recipe calls for 2 
cups of yogurt. and Paolo doubles the recipe. so multiply the recipe for yogurt by 2
2 * 2 = 5 cups of yogurt.
the total of yogurt and oats is and we know how much yogurt we have so we subtract that from the total of both.
- 5 = 
the oats after doubling were cups so u divide it by 2
/ 2 = 
before doubling
Answer:
x=24
Step-by-step explanation:
-5x+12x-8x=-24
Add like terms
12x-13x=-24
-x=-24
divide by 1
x=24
