![\huge \boxed{\mathfrak{Question} \downarrow}](https://tex.z-dn.net/?f=%20%5Chuge%20%5Cboxed%7B%5Cmathfrak%7BQuestion%7D%20%5Cdownarrow%7D)
- Find the product of (3a⁴ + 4)²
![\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7B%5Cmathfrak%7BAnswer%20%5C%3A%20with%20%5C%3A%20Explanation%7D%20%5Cdownarrow%7D)
![\sf( 3 a ^ { 4 } + 4 ) ^ { 2 }](https://tex.z-dn.net/?f=%20%5Csf%28%203%20a%20%5E%20%7B%204%20%7D%20%2B%204%20%29%20%5E%20%7B%202%20%7D)
Use binomial theorem
to expand
.
![\sf \: 9\left(a^{4}\right)^{2}+24a^{4}+16](https://tex.z-dn.net/?f=%20%5Csf%20%5C%3A%209%5Cleft%28a%5E%7B4%7D%5Cright%29%5E%7B2%7D%2B24a%5E%7B4%7D%2B16%20)
To raise a power to another power, multiply the exponents. Multiply 4 by 2 to get 8.
![\boxed{ \boxed{ \bf \: C)\: 9a^{8}+24a^{4}+16 }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cboxed%7B%20%5Cbf%20%5C%3A%20C%29%5C%3A%209a%5E%7B8%7D%2B24a%5E%7B4%7D%2B16%20%7D%7D)
Answer:
-1
Step-by-step explanation:
i is √-1
i^2 is -1
i^3 is -i
i^4 is 1
This cycle repeats itself every 4 powers
so i^6 is -1
Answer:
z=9
Step-by-step explanation:
we are given: 2/3z=6
we need to find what z is by itself
6 is 2/3rds of what the value of z is.
to find z, we need to multiply both sides by 3/2 (the reciprocal of 2/3z, to make the coefficient of 1)
3/2*2/3z=6*3/2
z=9
hope this helps :)
make the y int -4 because it passes through (0,-4). to make perpendicular, apply same slope to new equation but change sign