First, we have
(1 + 2/x²) (2x - 3/x)⁵ = (2x - 3/x)⁵ + 2/x² (2x - 3/x)⁵
In the expansion of (2x - 3/x)⁵, there is no x² term. Each term takes the form
where c is a binomial coefficient, and i is taken from the range {0, 1, 2, 3, 4, 5}. Looking at just the power of x in the product, we have
and 5 - 2i = 1 only if i = 2. By the binomial theorem, this term is given by
In the other expansion, we have an additional factor of 1/x², so that any given them in the expansion contains a power of x of the form
and 3 - 2i = 1 only if x = 1. This term in the expansion is
Then the coefficient of the x term in the whole expansion is 720 - 480 = 240.
Answer:
x
=
4
,
−
10
Step-by-step explanation:
Answer:
4(2x - 5)
Step-by-step explanation:
Rewrite "20" as 4 * 5
Rewrite "8" as 4 * 2
=4 * 2x - 4 * 5
Factor out common term "4"
=4(2x - 5) <------ Your answer.
Answer:
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
Step-by-step explanation:
Let us represent:
Cost of bolts = x
Cost of washers = y
Luke buys 4 bolts and 6 washers for $2.20
Hence:
4x + 6y = 2.20....Equation 1
Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.
3x + 5y = 1.80....Equation 2
Combining both Equations
4x + 6y = 2.20....Equation 1
3x + 5y = 1.80....Equation 2
Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x
12x + 18x = 6.6.....Equation 4
12x + 20x = 7.2.......Equation 5
Substract Equation 4 from 5
= 2x = 0.6
x = 0.6/2
x = $0.3
Solving for y
4x + 6y = 2.20....Equation 1
4 × 0.3 + 6y = 2.2
1.2 + 6y = 2.2
6y = 2.2 - 1.2
6y = 1.0
y = 1.0/6
y = $0.167
Cost of bolts = x = $0.3
Cost of washers = y = $0.167
