(p + q)⁵
(p + q)(p + q)(p + q)(p + q)(p + q)
{[p(p + q) + q(p + q)][p(p + q) + q(p + q)](p + q)}
{[p(p) + p(q) + q(p) + q(q)][p(p) + p(q) + q(p) + q(q)](p + q)}
(p² + pq + pq + q²)(p² + pq + pq + q²)(p + q)
(p² + 2pq + q²)(p² + 2pq + q²)(p + q)
{[p²(p² + 2pq + q²) + 2pq(p² + 2pq + q²) + q²(p² + 2pq + q²)](p + q)}
{[p²(p²) + p²(2pq) + p²(q²) + 2pq(p²) + 2pq(2pq) + 2pq(q²) + q²(p²) + q²(2pq) + q²(q²)](p + q)}
(p⁴ + 2p³q + p²q² + 2p³q + 4p²q² + 2pq³ + p²q² + 2pq³ + q⁴)(p + q)
(p⁴ + 2p³q + 2p³q + p²q² + 4p²q² + p²q² + 2pq³ + 2pq³ + q⁴)(p + q)
(p⁴ + 4p³q + 6p²q² + 4pq³ + q⁴)(p + q)
p⁴(p + q) + 4p³q(p + q) + 6p²q²(p + q) + 4pq³(p + q) + q⁴(p + q)
p⁴(p)+ p⁴(q) + 4p³q(p) + 4p³q(q) + 6p²q²(p) + 6p²q²(q) + 4pq³(p) + 4pq³(q) + q⁴(p) + q⁴(q)
p⁵ + p⁴q + 4p⁴q + 4p³q² + 6p³q² + 6p²q³ + 4p²q³ + 4pq⁴ + pq⁴ + q⁵
p⁵ + 5p⁴q + 10p³q² + 10p²q³ + 5pq⁴ + q⁵
Area of triangle = 24cm
Area of rectangle = 120
therefore, w x 12 = 120
w = 10
Answer:
5y+4z
Step-by-step explanation:
A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
To find the slope from an equation, solve the equation for y.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.
Let's solve your equation for y.
Subtract 2x from both sides.
Divide both sides by 7.
Now compare the equation above to y = mx + b.
m is the number that multiplies x, and it is the slope.
Answer:
The number of completed weeks when Natasha and Taylor will have an equal amount of saved is 8 weeks
Step-by-step explanation:
The starting amount of Taylor's savings = $10
The amount Taylor plans to save a week = $20
Therefore, the function that models Natasha's saving plan is y = 10 + 20·x
The function that models Natasha's saving plan is y = 50 + 15·x
Where;
y is the amount in savings
x is the number of completed weeks
When the amount of savings, y, of both Natasha and Taylor are equal, we have;
y for Natasha = y for Taylor
Therefore
10 + 20·x = 50 + 15·x
20·x - 15·x = 50 - 10
5·x = 40
x = 40/5 = 8
The number of completed weeks when Natasha and Taylor will have an equal amount of saved, x = 8 weeks
