Answer:
Just practice ,know different ways of solving it ,gain experince ,be smart and skilled.
Step-by-step explanation:
if you want to prove anuthing then go with the concept accoeding to the nature of the problem and there are almost many ways to prove anything so don't waste your time on way get on to the other ways.
It may not get proved at first time so keep on doing questions and when you have gained experience you know every nature of problems and then you are skilled properly.
60%; Since 1/5 is .2 or 20% and then multiply that by 3.
The answer to the problem is x=7. Here is the work:
Answer:
<h2><em>
4x³</em></h2>
Step-by-step explanation:
8x⁴y⁴ = 4×2×x³×x¹×y⁴ = 4x³×(2xy⁴)
12x³z² = 4×3×x³×z² = 4x³×(3z²)
Then the greatest common factor is of the two terms 8x⁴y⁴ and 12x³z² is:
4x³
(√3 - <em>i </em>) / (√3 + <em>i</em> ) × (√3 - <em>i</em> ) / (√3 - <em>i</em> ) = (√3 - <em>i</em> )² / ((√3)² - <em>i</em> ²)
… = ((√3)² - 2√3 <em>i</em> + <em>i</em> ²) / (3 - <em>i</em> ²)
… = (3 - 2√3 <em>i</em> - 1) / (3 - (-1))
… = (2 - 2√3 <em>i</em> ) / 4
… = 1/2 - √3/2 <em>i</em>
… = √((1/2)² + (-√3/2)²) exp(<em>i</em> arctan((-√3/2)/(1/2))
… = exp(<em>i</em> arctan(-√3))
… = exp(-<em>i</em> arctan(√3))
… = exp(-<em>iπ</em>/3)
By DeMoivre's theorem,
[(√3 - <em>i </em>) / (√3 + <em>i</em> )]⁶ = exp(-6<em>iπ</em>/3) = exp(-2<em>iπ</em>) = 1
