The answer is F because you would have to multiply both 4 and 3 to get 12. Then you add both of the exponents for X to get 5. You wouldn't have to do anything for Y because you can't add it to anything.

4 0

4 years ago

Simplify 5+2i/6+i

nlexa [21]

Given problem is $\frac{(5+2i)}{(6+i)}$

To simplify that we need to multiply and divide by conjugate of the denominator

conjugate of denominator 6+i will be 6-i as we just need to change sign of the imaginary part

Now multiply and divide by 6-i

$=\frac{(5+2i)}{(6+i)}\cdot\frac{(6-i)}{(6-i)}$

$=\frac{30-5i+12i-2i^2}{36-6i+6i-i^2}$

$=\frac{30+7i-2i^2}{36-i^2}$

$=\frac{30+7i-2\left(-1\right)}{36-\left(-1\right)}$

$=\frac{30+7i+2}{36+1}$

$=\frac{32+7i}{37}$

$=\frac{32}{37}+\frac{7}{37}i$

Hence final answer is $\frac{32}{37}+\frac{7}{37}i$

3 0

3 years ago