Answer: I'll solve A) since there is a lot of work to be shown.
Step-by-step explanation:
A)
(x−1)³+3x(x−4)+2=x³
Use binomial theorem to expand (x−1)³
x³- 3x² + 3x - 1 + 3x(x-4) + 2=x³
Use distributive property on 3x(x-4)
x³- 3x² + 3x - 1 + 3x²-12x + 2=x³
Add like terms
x³ −9x + 1 =x³
Subtract x³ from both sides.
x³ −9x +1 -x³ = 0
Add x³ and -x³
−9x+1=0
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
−9x=−1
Divide both sides by -9.
x=
1/9
(6+3i)(6-3i) =
(6 x 6) (6 x -3i) = 36 - 18i
(3i x 6) (3i x 3i) = 18i + 9i^2
36 - 18i + 18i + 9i^2
36 + 9i^2
what do you believe this answer is
5/8 inches
Fraction form: 5/8
Decimal form: 0.625
