f(x)= 3x³ - 18x +9
Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.
Identity I: (a + b)² = a² + 2ab + b²
Identity II: (a – b)² = a² – 2ab + b²
Identity III: a² – b²= (a + b)(a – b)
Identity IV: (x + a)(x + b) = x² + (a + b) x + ab
Identity V: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Identity VI: (a + b)³ = a³ + b³ + 3ab (a + b)
Identity VII: (a – b)³ = a³ – b³ – 3ab (a – b)
Identity VIII: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)
f(x) = (3x + 6) (x - 3)²
= ( 3x + 6) ( x - 3 )²
= ( 3x + 6)( x² - 6x + 9)
= 3x( x² - 6x + 9) + 6( x² - 6x + 9)
= 3x³ - 6x² + 18x + 6x² - 36x +9
= 3x³ - 18x +9
To learn more about algebraic expansions, refer to brainly.com/question/4344214
#SPJ9
Answer:
22
Step-by-step explanation:
Given the following
GE = 3x - 11 FD = 2x
Let us assume GE is parallel to FD, hence GE = FD
3x - 11 = 2x
3x - 2x = 0+11
x = 11
Get GE
GE = 3x - 11
GE = 3(11)-11
GE= 33 - 11
GE = 22
Hence the length of GE is 22
Th measure of arc AB will be 60 degrees
<h3>Circle theorem</h3>
The figure shown shows a circle with lines AC and BD intersecting the circle at the point E
From the figure given the measure of the arc AB is congruent to the arc CD.Given that the measure of arc CD is 60 degrees, hence the measure of arc AB will also be 60 degrees
Learn more on circle theorem here: brainly.com/question/6240879
#SPJ1
Answer:
98
Step-by-step explanation:
7 flowers a day time 14 days equals 98
(1*100,000)+(2*100)+(3*1) hundred thousands two hundred and 3
