Consider the following expanded powers of (a + b)n, where a + b is any binomial and n is a whole number. Look for patterns.
Each expansion is a polynomial. There are some patterns to be noted.
1. There is one more term than the power of the exponent, n. That is, there are terms in the expansion of (a + b)n.
2. In each term, the sum of the exponents is n, the power to which the binomial is raised.
3. The exponents of a start with n, the power of the binomial, and decrease to 0. The last term has no factor of a. The first term has no factor of b, so powers of b start with 0 and increase to n.
4. The coefficients start at 1 and increase through certain values about "half"-way and then decrease through these same values back to 1.
Answer:
Step-by-step explanation:
√20 can be rewritten as the product of two radicals: √4√5,
and √4 = 2.
Thus, 5√20 = 5(2)√5 = 10√5. Thus, B: 10 is correct; k = 10.
Answer:
Step-by-step explanation:
<u>Part A:</u>
Lets take the value of a=10
Thus a+1=b
10+1=11 , it means the value of b is 11
11>10 or b>a
Now take the value of a as -3
Therefore a+1=b
-3+1= -2
-2>-3 or b>a
The pair of values for a and b are: a=10 then the value of b would be 11;
And a=-3; then the value of b would be: -2.
<u>Part B:</u>
It is not possible to create a pair of values for a and be, in which the numerical relationship shown in the given conditional statement is false, therefore b>a if a+1=b....
Answer:(5,3)
Step-by-step explanation:
solve for the first variable in one of the equations then substitute the result into the other equation
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