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
Exact Form:
x = 34/7
Decimal Form:
x= 4. 857142
Mixed Number Form:
x= 4 6/7
You need to make a blank graph that goes from 1 to 10 in each direction and then just plot the points. sorry the picture is sideways idk how to fix it.
Answer:
x-axis
Step-by-step explanation:
The horizontal number line is called the x-axis. The vertical number line is called the y-axis. The point where the x- and y-axes meet is the origin.
Hope this helps! <3
Answer:
Step-by-step explanation:
Volume of 100 pages of the book =20 inches cube.
Step-by-step explanation:
Given : A 300-page book is 10 inches long, 8 inches wide, and 3/4 inches tall.
To find : The volume of 100 pages of the book.
Solution :
Formula to find the volume of book is
Where Length L=10 inches
Breadth B= 8 inches
Height H= inches.
Volume of the book with 300 pages is
Volume of 300 pages of the book = 60 inches cube.
Volume of 1 page of the book = inches cube
Volume of 100 page of the book = inches cube
Volume of 100 pages of the book =20 inches cube.
