Answer:
- (x - 3y)(3x + y)
Step-by-step explanation:
Given
(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL
= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute
= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms
= - 3x² + 8xy + 3y² ← factor out - 1 from each term
= - 1(3x² - 8xy - 3y²) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.
product = 3 × - 3 = - 9 and sum = - 8
The factors are - 9 and + 1
Use these factors to split the xy- term
3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )
= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term
= (x - 3y)(3x + y)
Thus
(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)
Answer: I believe the answer would be about 1
hope this helps
The factors of 27 is as follows:
1,3,9, and 27
or
1×27
and
3×9
Answer:
NO. Alex was wrong.
The total dive distance is 21 + 17 = 38 feet
Step-by-step explanation:
Alex was wrong because his direction of diving is from above the water through the surface of the water to under the water.
So his direction of travelling is not opposite but the same.
Therefore the total distance traveled by Alex = distance traveled from the diving board to the water surface + distance traveled from the water surface to down below the water
Distance traveled from the diving board to the water surface = 21 feet
Distance traveled from the water surface down below the water = 17 feet
Total distance traveled by Alex = 21 feet + 17 feet
= 38 feet.
Thus, Alex was wrong because the the total distance traveled by Alex was 38 feet.
Answer:
24xz + 28yz
Step-by-step explanation:
4z(6x + 7y) ← multiply each term in the parenthesis by 4z
= 24xz + 28yz
