By the binomial theorem,

where

Then the coefficients of the
terms in the expansion are, in order from
to
,





The numbers are 6 and 5 because 6-5=1 and 6^2=36 or 6*6=36,5^2=25 or 5*5=25. 36+25=61
Answer:
A
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
To find m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (1, 1) and (x₂, y₂ ) = (- 1, - 1) ← 2 points on the line
m =
=
= 1
y = x ← is the equation of the line → A
Answer:
8x² + 6xy - 4
Step-by-step explanation:
(5x² + 4xy - 7) + (3x² + 2xy + 3) ← remove parenthesis
= 5x² + 4xy - 7 + 3x² + 2xy + 3 ← collect like terms
= 8x² + 6xy - 4
Answer:
1.92, 3.84, 4.8, 5.76
Step-by-step explanation:
In the given set, the sum of the last two numbers is 5+6 = 11; the sum of the first two numbers is 2+4 = 6. The difference between these sums is 11-6 = 5.
You want to scale all the numbers by a factor of 4.8/5 = 0.96 so that the difference computed the same way is 4.8 instead of 5.
Then the numbers are ...
0.96{2, 4, 5, 6} = {1.92, 3.84, 4.8, 5.76}