For a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵
when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5
substitute x =2x and y = 5
(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵
<span>= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
</span>we use the pascals triangle to find the coefficient
we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴
Answer:
5x²+7x-4
Step-by-step explanation:
Given: (7x²+2x-1)-(2x²-5x+3)
Distribute: 7x²+2x-1-2x²+5x-3
Rearrange: 7x²-2x²+5x+2x-3-1
Combine like terms: 5x²+7x-4
Your final answer is thus 5x²+7x-4
N-8 or 8-n I would assume
Simplify 1/2p to p/2
subtract 15 from both sides
multiply both sides by 2
regroup terms
switch sides
Answer: p = 2(q - 15)
Answer:
B
Step-by-step explanation:
180-72 = 108
26+46=72
108+72=180
