We want to expand (2x + y²)⁵.
From Pascal's Triangle (shown below), the coefficients of the expansion are
1,5,10,10,5,1.
n=0: 1
n=1: 1 1
n=2: 1 2 1
n=3: 1 3 3 1
n=4: 1 4 6 4 1
n=5: 1 5 10 10 5 1
Therefore the third term in the expansion is
10*(2x)³*(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Alternatively, the third term is
₅C₃ (2x)³(y²)² = 10*(8x³)*(y⁴) = 80x³y⁴
Answer: 80x³y⁴
It means to multiply those numbers. The answer is the first one.
(Look at image)
Answer:
Domain [2,5)
Range (-6,18]
Step-by-step explanation:
Domain is shifted 2 units to the right because of the horizontal shift so it is [2,5)
Range is multiplied by 3 because of the vertical stretch so it is (-6,18]
Answer:
D. Rewrite one side (or both) using the distributive property, Yes
Step-by-step explanation:
How can we get Equation BBB from Equation AAA? Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Answer:
the 2nd one
Step-by-step explanation:
2*3x is 6x
2*4 is 8
equation is 6x+8