Answer:
Part A: 3x²(x⁸ - 16)
Part B: 3x²(x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
Step-by-step explanation:
Part A. Factor out the greatest common factor
3x¹⁰ - 48 x²
= 3x²(x⁸ - 16)
Part B. Factor the expression completely
(i) Factor the difference of squares
x⁸ - 16
= (x⁴ - 4)(x⁴ + 4)
= (x² - 2)(x² + 2)(x⁴ + 4)
3x¹⁰ - 48 x² = 3x²(x² - 2)(x² + 2)(x⁴ + 4)
(ii) Factor the sum of squares
Use the Sophie Germain Identity to factor x⁴ + 4.
x⁴ + 4
= (x²)² + 2² (Still a sum of squares)
= (x² + 2)² - 4x² (Factor this as a difference of squares)
= (x² + 2 - 2x)(x² + 2 + 2x)
3x¹⁰ - 48 x² = 3x² (x² - 2)(x² + 2) (x² - 2x + 2)(x² + 2x + 2)
5 bc it’s multiplied by x
Answer:
0.7 gallons, 950 mL, 0.4 L, 1 1/4 cups
Step-by-step explanation:
First we need to convert the information given into one unit, in this case I will convert it into liters (L)
CUPS
1 cup is equal to 236.588 ml and is the same as .236 L using this information and knowing that 1 1/4 cup is the same as 1.25 cups we have that
x=.295 L
LITERS
0.4 L will stay the same
MILILITERS
1 liter is 1000 ml so 950 ml is the same as
x=.950 L
GALLONS
1 gallon is 3.78541 L so 0.7 gallons are
x=2.649 L
arranging the data from greatest to least we have that 0.7 gallons, 950 mL, 0.4 L, 1 1/4 cups
Answer:
The answer is A: Reflexsive property of congruence
Step-by-step explanation: