The answer is 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
(a - b)² = a² - 2ab + b²
(3x²ᵃ - 4yᵃz³ᵃ)² = (3x²ᵃ)² - 2 * 3x²ᵃ * 4yᵃz³ᵃ + (4yᵃz³ᵃ)² =
= 3²x²ᵃ*² - 2 * 3 * 4 x²ᵃ * yᵃz³ᵃ + 4²yᵃ*²z³ᵃ*² =
= 9x⁴ᵃ - 24x²ᵃyᵃz³ᵃ + 16 y²ᵃz⁶ᵃ
Answer:
25/30 and 28/30
Step-by-step explanation:
1. To find the least common denominator, you need to find the least common multiple of the two denominators which are 6 and 15. Prime factorization of these numbers gives:
6 = 2 x 3
15 = 5 x 3
A number that would evenly divide both 6 and 15 must contain 2 x 3 x 5 which is 30.
Thus 30 is the least common denominator.
2. Now we need to somehow change both fractions to make them have a denominator of 30. To do this we can multiply by fractions with same numerator and denominator since that would be like multiplying by 1.
So, 5/6 x 5/5 = 25/30
And 14/15 x 2/2 = 28/30
For this case, the first thing you should know is that by definition, the vertical angles are congruent.
We have then:
∠1 and ∠2 are vertical angles.
Therefore, by definition:
∠1 = ∠2
On the other hand we have:
∠2 has a measure of 31 °.
Thus:
∠1 = ∠2 = 31 °
Answer:
the measure of ∠1 is:
∠1 = 31 °
3m + 7y + 5 + -1m + -6y = 0
Reorder the terms:5 + 3m + -1m + 7y + -6y = 0
Combine like terms: 3m + -1m = 2m5 + 2m + 7y + -6y = 0
Combine like terms: 7y + -6y = 1y5 + 2m + 1y = 0
Solving5 + 2m + 1y = 0
Solving for variable m'.
Move all terms containing m to the left, all other terms to the right.
Add '-5' to each side of the equation.5 + 2m + -5 + 1y = 0 + -5
Reorder the terms:5 + -5 + 2m + 1y = 0 + -5
Combine like terms: 5 + -5 = 00 + 2m + 1y = 0 + -52m + 1y = 0 + -5
Combine like terms: 0 + -5 = -52m + 1y = -5
Add '-1y' to each side of the equation.2m + 1y + -1y = -5 + -1y
Combine like terms: 1y + -1y = 02m + 0 = -5 + -1y2m = -5 + -1y
Divide each side by '2'.m = -2.5 + -0.5y
Roots m=-2.5 + -0.5y
Simplify the following:3 m + 7 y + 5 - m - 6 y
Grouping like terms, 3 m + 7 y + 5 - m - 6 y = (7 y - 6 y) + (3 m - m) + 5:(7 y - 6 y) + (3 m - m) + 5
7 y - 6 y = y:y + (3 m - m) + 5
3 m - m = 2 m:Answer: y + 2 m + 5
Not sure what you need so I gave you Simplification and Roots.
