Hello from MrBillDoesMath!
Answer:
x^5 - 5 x^4 y + 10 x^3 y^2 - 10 x^2 y^3 + 5 x y^4 - y^5
Discussion:
Pascal's triangle looks like this (up to 6 rows)
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
The last row contains the constant multipliers in the equation. The terms in the expansion alternate in sign.
Thank you,
MrB
The answer is -30. The absolute value of -3 is 3. Then you evaluate the power of 6 to the power which is 36. Next you multiply the numbers 2 x 3 which is 6. Then calculate the two numbers left over 6 - 36 which is -30.
The first thing he has to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a " 1 " in front of the parentheses, to help them keep track of the minus sign. Here's what the subtraction looks like, when working horizontally.
Answer:
x = 27
Step-by-step explanation:
vertical angles are congruent , then
5(x - 4) = 4x + 7 ← distribute parenthesis on left side
5x - 20 = 4x + 7 ( subtract 4x from both sides )
x - 20 = 7 ( add 20 to both sides )
x = 27
